Solve 486div96

$$486 \div 96$$

Evaluate

$$\frac{81}{16}=5.0625$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 486

$$\begin{array}{l}\phantom{96)}\phantom{1}\\96\overline{)486}\\\end{array}$$

Since 4 is less than 96, use the next digit 8 from dividend 486 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}0\phantom{2}\\96\overline{)486}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 486

$$\begin{array}{l}\phantom{96)}0\phantom{3}\\96\overline{)486}\\\end{array}$$

Since 48 is less than 96, use the next digit 6 from dividend 486 and add 0 to the quotient

$$\begin{array}{l}\phantom{96)}00\phantom{4}\\96\overline{)486}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 486

$$\begin{array}{l}\phantom{96)}00\phantom{5}\\96\overline{)486}\\\end{array}$$

Find closest multiple of 96 to 486. We see that 5 \times 96 = 480 is the nearest. Now subtract 480 from 486 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{96)}005\phantom{6}\\96\overline{)486}\\\phantom{96)}\underline{\phantom{}480\phantom{}}\\\phantom{96)99}6\\\end{array}$$

Since 6 is less than 96, stop the division. The reminder is 6. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }6$$

Factor

$$\frac{3 ^ {4}}{2 ^ {4}} = 5\frac{1}{16} = 5.0625$$