How to solve (199709686)/(45)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (199709686)/(45) | Equatix

Use the $1^{st}$ digit $1$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)199709686}\\\end{array}$$

Since $1$ is less than $45$, use the next digit $9$ from dividend $199709686$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)199709686}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)199709686}\\\end{array}$$

Since $19$ is less than $45$, use the next digit $9$ from dividend $199709686$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)199709686}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)199709686}\\\end{array}$$

Find closest multiple of $45$ to $199$. We see that $4 \times 45 = 180$ is the nearest. Now subtract $180$ from $199$ to get reminder $19$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{45)}004\phantom{6}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}19\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}004\phantom{7}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\end{array}$$

Find closest multiple of $45$ to $197$. We see that $4 \times 45 = 180$ is the nearest. Now subtract $180$ from $197$ to get reminder $17$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{45)}0044\phantom{8}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}17\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}0044\phantom{9}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\end{array}$$

Find closest multiple of $45$ to $170$. We see that $3 \times 45 = 135$ is the nearest. Now subtract $135$ from $170$ to get reminder $35$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{45)}00443\phantom{10}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}35\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}00443\phantom{11}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}359\\\end{array}$$

Find closest multiple of $45$ to $359$. We see that $7 \times 45 = 315$ is the nearest. Now subtract $315$ from $359$ to get reminder $44$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{45)}004437\phantom{12}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}359\\\phantom{45)}\underline{\phantom{999}315\phantom{999}}\\\phantom{45)9999}44\\\end{array}$$

Use the $7^{th}$ digit $6$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}004437\phantom{13}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}359\\\phantom{45)}\underline{\phantom{999}315\phantom{999}}\\\phantom{45)9999}446\\\end{array}$$

Find closest multiple of $45$ to $446$. We see that $9 \times 45 = 405$ is the nearest. Now subtract $405$ from $446$ to get reminder $41$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{45)}0044379\phantom{14}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}359\\\phantom{45)}\underline{\phantom{999}315\phantom{999}}\\\phantom{45)9999}446\\\phantom{45)}\underline{\phantom{9999}405\phantom{99}}\\\phantom{45)99999}41\\\end{array}$$

Use the $8^{th}$ digit $8$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}0044379\phantom{15}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}359\\\phantom{45)}\underline{\phantom{999}315\phantom{999}}\\\phantom{45)9999}446\\\phantom{45)}\underline{\phantom{9999}405\phantom{99}}\\\phantom{45)99999}418\\\end{array}$$

Find closest multiple of $45$ to $418$. We see that $9 \times 45 = 405$ is the nearest. Now subtract $405$ from $418$ to get reminder $13$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{45)}00443799\phantom{16}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}359\\\phantom{45)}\underline{\phantom{999}315\phantom{999}}\\\phantom{45)9999}446\\\phantom{45)}\underline{\phantom{9999}405\phantom{99}}\\\phantom{45)99999}418\\\phantom{45)}\underline{\phantom{99999}405\phantom{9}}\\\phantom{45)999999}13\\\end{array}$$

Use the $9^{th}$ digit $6$ from dividend $199709686$

$$\begin{array}{l}\phantom{45)}00443799\phantom{17}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}359\\\phantom{45)}\underline{\phantom{999}315\phantom{999}}\\\phantom{45)9999}446\\\phantom{45)}\underline{\phantom{9999}405\phantom{99}}\\\phantom{45)99999}418\\\phantom{45)}\underline{\phantom{99999}405\phantom{9}}\\\phantom{45)999999}136\\\end{array}$$

Find closest multiple of $45$ to $136$. We see that $3 \times 45 = 135$ is the nearest. Now subtract $135$ from $136$ to get reminder $1$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{45)}004437993\phantom{18}\\45\overline{)199709686}\\\phantom{45)}\underline{\phantom{}180\phantom{999999}}\\\phantom{45)9}197\\\phantom{45)}\underline{\phantom{9}180\phantom{99999}}\\\phantom{45)99}170\\\phantom{45)}\underline{\phantom{99}135\phantom{9999}}\\\phantom{45)999}359\\\phantom{45)}\underline{\phantom{999}315\phantom{999}}\\\phantom{45)9999}446\\\phantom{45)}\underline{\phantom{9999}405\phantom{99}}\\\phantom{45)99999}418\\\phantom{45)}\underline{\phantom{99999}405\phantom{9}}\\\phantom{45)999999}136\\\phantom{45)}\underline{\phantom{999999}135\phantom{}}\\\phantom{45)99999999}1\\\end{array}$$

Since $1$ is less than $45$, stop the division. The reminder is $1$. The topmost line $004437993$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4437993$.

$$\text{Quotient: }4437993$$ $$\text{Reminder: }1$$

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