Solve 126\div16 | Equatix

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Question

$$126 \div 16$$

Evaluate

$\frac{63}{8}=7.875$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $126$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)126}\\\end{array}$$

Since $1$ is less than $16$, use the next digit $2$ from dividend $126$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)126}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $126$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)126}\\\end{array}$$

Since $12$ is less than $16$, use the next digit $6$ from dividend $126$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)126}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $126$

$$\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)126}\\\end{array}$$

Find closest multiple of $16$ to $126$. We see that $7 \times 16 = 112$ is the nearest. Now subtract $112$ from $126$ to get reminder $14$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{16)}007\phantom{6}\\16\overline{)126}\\\phantom{16)}\underline{\phantom{}112\phantom{}}\\\phantom{16)9}14\\\end{array}$$

Since $14$ is less than $16$, stop the division. The reminder is $14$. The topmost line $007$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7$.

$$\text{Quotient: }7$$ $$\text{Reminder: }14$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 7}{2 ^ {3}} = 7\frac{7}{8} = 7.875$