How to solve (7696)/(52)

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 (7696)/(52) | Equatix

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Question

$$\frac{ 7696 }{ 52 }$$

Evaluate

$148$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7696$

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)7696}\\\end{array}$$

Since $7$ is less than $52$, use the next digit $6$ from dividend $7696$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)7696}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $7696$

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)7696}\\\end{array}$$

Find closest multiple of $52$ to $76$. We see that $1 \times 52 = 52$ is the nearest. Now subtract $52$ from $76$ to get reminder $24$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{52)}01\phantom{4}\\52\overline{)7696}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}24\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $7696$

$$\begin{array}{l}\phantom{52)}01\phantom{5}\\52\overline{)7696}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}249\\\end{array}$$

Find closest multiple of $52$ to $249$. We see that $4 \times 52 = 208$ is the nearest. Now subtract $208$ from $249$ to get reminder $41$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{52)}014\phantom{6}\\52\overline{)7696}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}249\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}41\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $7696$

$$\begin{array}{l}\phantom{52)}014\phantom{7}\\52\overline{)7696}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}249\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}416\\\end{array}$$

Find closest multiple of $52$ to $416$. We see that $8 \times 52 = 416$ is the nearest. Now subtract $416$ from $416$ to get reminder $0$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{52)}0148\phantom{8}\\52\overline{)7696}\\\phantom{52)}\underline{\phantom{}52\phantom{99}}\\\phantom{52)}249\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}416\\\phantom{52)}\underline{\phantom{9}416\phantom{}}\\\phantom{52)9999}0\\\end{array}$$

Since $0$ is less than $52$, stop the division. The reminder is $0$. The topmost line $0148$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $148$.

$$\text{Quotient: }148$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2^{2}\times 37$