Solve 762\div96 | Equatix

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Question

$$762 \div 96$$

Evaluate

$\frac{127}{16}=7.9375$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $762$

$$\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)762}\\\end{array}$$

Since $7$ is less than $96$, use the next digit $6$ from dividend $762$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)762}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $762$

$$\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)762}\\\end{array}$$

Since $76$ is less than $96$, use the next digit $2$ from dividend $762$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)762}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $762$

$$\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)762}\\\end{array}$$

Find closest multiple of $96$ to $762$. We see that $7 \times 96 = 672$ is the nearest. Now subtract $672$ from $762$ to get reminder $90$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{96)}007\phantom{6}\\96\overline{)762}\\\phantom{96)}\underline{\phantom{}672\phantom{}}\\\phantom{96)9}90\\\end{array}$$

Since $90$ is less than $96$, stop the division. The reminder is $90$. The topmost line $007$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7$.

$$\text{Quotient: }7$$ $$\text{Reminder: }90$$

Show Solution

Factor

$\frac{127}{2 ^ {4}} = 7\frac{15}{16} = 7.9375$