How to solve 5419307/396

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 5419307/396 | Equatix

Use the $1^{st}$ digit $5$ from dividend $5419307$

$$\begin{array}{l}\phantom{396)}\phantom{1}\\396\overline{)5419307}\\\end{array}$$

Since $5$ is less than $396$, use the next digit $4$ from dividend $5419307$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{396)}0\phantom{2}\\396\overline{)5419307}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $5419307$

$$\begin{array}{l}\phantom{396)}0\phantom{3}\\396\overline{)5419307}\\\end{array}$$

Since $54$ is less than $396$, use the next digit $1$ from dividend $5419307$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{396)}00\phantom{4}\\396\overline{)5419307}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $5419307$

$$\begin{array}{l}\phantom{396)}00\phantom{5}\\396\overline{)5419307}\\\end{array}$$

Find closest multiple of $396$ to $541$. We see that $1 \times 396 = 396$ is the nearest. Now subtract $396$ from $541$ to get reminder $145$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{396)}001\phantom{6}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}145\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $5419307$

$$\begin{array}{l}\phantom{396)}001\phantom{7}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}1459\\\end{array}$$

Find closest multiple of $396$ to $1459$. We see that $3 \times 396 = 1188$ is the nearest. Now subtract $1188$ from $1459$ to get reminder $271$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{396)}0013\phantom{8}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}1459\\\phantom{396)}\underline{\phantom{}1188\phantom{999}}\\\phantom{396)9}271\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $5419307$

$$\begin{array}{l}\phantom{396)}0013\phantom{9}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}1459\\\phantom{396)}\underline{\phantom{}1188\phantom{999}}\\\phantom{396)9}2713\\\end{array}$$

Find closest multiple of $396$ to $2713$. We see that $6 \times 396 = 2376$ is the nearest. Now subtract $2376$ from $2713$ to get reminder $337$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{396)}00136\phantom{10}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}1459\\\phantom{396)}\underline{\phantom{}1188\phantom{999}}\\\phantom{396)9}2713\\\phantom{396)}\underline{\phantom{9}2376\phantom{99}}\\\phantom{396)99}337\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $5419307$

$$\begin{array}{l}\phantom{396)}00136\phantom{11}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}1459\\\phantom{396)}\underline{\phantom{}1188\phantom{999}}\\\phantom{396)9}2713\\\phantom{396)}\underline{\phantom{9}2376\phantom{99}}\\\phantom{396)99}3370\\\end{array}$$

Find closest multiple of $396$ to $3370$. We see that $8 \times 396 = 3168$ is the nearest. Now subtract $3168$ from $3370$ to get reminder $202$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{396)}001368\phantom{12}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}1459\\\phantom{396)}\underline{\phantom{}1188\phantom{999}}\\\phantom{396)9}2713\\\phantom{396)}\underline{\phantom{9}2376\phantom{99}}\\\phantom{396)99}3370\\\phantom{396)}\underline{\phantom{99}3168\phantom{9}}\\\phantom{396)999}202\\\end{array}$$

Use the $7^{th}$ digit $7$ from dividend $5419307$

$$\begin{array}{l}\phantom{396)}001368\phantom{13}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}1459\\\phantom{396)}\underline{\phantom{}1188\phantom{999}}\\\phantom{396)9}2713\\\phantom{396)}\underline{\phantom{9}2376\phantom{99}}\\\phantom{396)99}3370\\\phantom{396)}\underline{\phantom{99}3168\phantom{9}}\\\phantom{396)999}2027\\\end{array}$$

Find closest multiple of $396$ to $2027$. We see that $5 \times 396 = 1980$ is the nearest. Now subtract $1980$ from $2027$ to get reminder $47$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{396)}0013685\phantom{14}\\396\overline{)5419307}\\\phantom{396)}\underline{\phantom{}396\phantom{9999}}\\\phantom{396)}1459\\\phantom{396)}\underline{\phantom{}1188\phantom{999}}\\\phantom{396)9}2713\\\phantom{396)}\underline{\phantom{9}2376\phantom{99}}\\\phantom{396)99}3370\\\phantom{396)}\underline{\phantom{99}3168\phantom{9}}\\\phantom{396)999}2027\\\phantom{396)}\underline{\phantom{999}1980\phantom{}}\\\phantom{396)99999}47\\\end{array}$$

Since $47$ is less than $396$, stop the division. The reminder is $47$. The topmost line $0013685$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $13685$.

$$\text{Quotient: }13685$$ $$\text{Reminder: }47$$

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