How to solve (29111111)/(145)

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 (29111111)/(145) | Equatix

Use the $1^{st}$ digit $2$ from dividend $29111111$

$$\begin{array}{l}\phantom{145)}\phantom{1}\\145\overline{)29111111}\\\end{array}$$

Since $2$ is less than $145$, use the next digit $9$ from dividend $29111111$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{145)}0\phantom{2}\\145\overline{)29111111}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $29111111$

$$\begin{array}{l}\phantom{145)}0\phantom{3}\\145\overline{)29111111}\\\end{array}$$

Since $29$ is less than $145$, use the next digit $1$ from dividend $29111111$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{145)}00\phantom{4}\\145\overline{)29111111}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $29111111$

$$\begin{array}{l}\phantom{145)}00\phantom{5}\\145\overline{)29111111}\\\end{array}$$

Find closest multiple of $145$ to $291$. We see that $2 \times 145 = 290$ is the nearest. Now subtract $290$ from $291$ to get reminder $1$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{145)}002\phantom{6}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}1\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $29111111$

$$\begin{array}{l}\phantom{145)}002\phantom{7}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}11\\\end{array}$$

Since $11$ is less than $145$, use the next digit $1$ from dividend $29111111$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{145)}0020\phantom{8}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}11\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $29111111$

$$\begin{array}{l}\phantom{145)}0020\phantom{9}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}111\\\end{array}$$

Since $111$ is less than $145$, use the next digit $1$ from dividend $29111111$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{145)}00200\phantom{10}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}111\\\end{array}$$

Use the $6^{th}$ digit $1$ from dividend $29111111$

$$\begin{array}{l}\phantom{145)}00200\phantom{11}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}1111\\\end{array}$$

Find closest multiple of $145$ to $1111$. We see that $7 \times 145 = 1015$ is the nearest. Now subtract $1015$ from $1111$ to get reminder $96$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{145)}002007\phantom{12}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}1111\\\phantom{145)}\underline{\phantom{99}1015\phantom{99}}\\\phantom{145)9999}96\\\end{array}$$

Use the $7^{th}$ digit $1$ from dividend $29111111$

$$\begin{array}{l}\phantom{145)}002007\phantom{13}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}1111\\\phantom{145)}\underline{\phantom{99}1015\phantom{99}}\\\phantom{145)9999}961\\\end{array}$$

Find closest multiple of $145$ to $961$. We see that $6 \times 145 = 870$ is the nearest. Now subtract $870$ from $961$ to get reminder $91$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{145)}0020076\phantom{14}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}1111\\\phantom{145)}\underline{\phantom{99}1015\phantom{99}}\\\phantom{145)9999}961\\\phantom{145)}\underline{\phantom{9999}870\phantom{9}}\\\phantom{145)99999}91\\\end{array}$$

Use the $8^{th}$ digit $1$ from dividend $29111111$

$$\begin{array}{l}\phantom{145)}0020076\phantom{15}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}1111\\\phantom{145)}\underline{\phantom{99}1015\phantom{99}}\\\phantom{145)9999}961\\\phantom{145)}\underline{\phantom{9999}870\phantom{9}}\\\phantom{145)99999}911\\\end{array}$$

Find closest multiple of $145$ to $911$. We see that $6 \times 145 = 870$ is the nearest. Now subtract $870$ from $911$ to get reminder $41$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{145)}00200766\phantom{16}\\145\overline{)29111111}\\\phantom{145)}\underline{\phantom{}290\phantom{99999}}\\\phantom{145)99}1111\\\phantom{145)}\underline{\phantom{99}1015\phantom{99}}\\\phantom{145)9999}961\\\phantom{145)}\underline{\phantom{9999}870\phantom{9}}\\\phantom{145)99999}911\\\phantom{145)}\underline{\phantom{99999}870\phantom{}}\\\phantom{145)999999}41\\\end{array}$$

Since $41$ is less than $145$, stop the division. The reminder is $41$. The topmost line $00200766$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $200766$.

$$\text{Quotient: }200766$$ $$\text{Reminder: }41$$

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