Solve 6237div64

$$6237 \div 64$$

Evaluate

$$\frac{6237}{64}=97.453125$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6237

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)6237}\\\end{array}$$

Since 6 is less than 64, use the next digit 2 from dividend 6237 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)6237}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 6237

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)6237}\\\end{array}$$

Since 62 is less than 64, use the next digit 3 from dividend 6237 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)6237}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 6237

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)6237}\\\end{array}$$

Find closest multiple of 64 to 623. We see that 9 \times 64 = 576 is the nearest. Now subtract 576 from 623 to get reminder 47. Add 9 to quotient.

$$\begin{array}{l}\phantom{64)}009\phantom{6}\\64\overline{)6237}\\\phantom{64)}\underline{\phantom{}576\phantom{9}}\\\phantom{64)9}47\\\end{array}$$

Use the 4^{th} digit 7 from dividend 6237

$$\begin{array}{l}\phantom{64)}009\phantom{7}\\64\overline{)6237}\\\phantom{64)}\underline{\phantom{}576\phantom{9}}\\\phantom{64)9}477\\\end{array}$$

Find closest multiple of 64 to 477. We see that 7 \times 64 = 448 is the nearest. Now subtract 448 from 477 to get reminder 29. Add 7 to quotient.

$$\begin{array}{l}\phantom{64)}0097\phantom{8}\\64\overline{)6237}\\\phantom{64)}\underline{\phantom{}576\phantom{9}}\\\phantom{64)9}477\\\phantom{64)}\underline{\phantom{9}448\phantom{}}\\\phantom{64)99}29\\\end{array}$$

Since 29 is less than 64, stop the division. The reminder is 29. The topmost line 0097 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 97.

$$\text{Quotient: }97 \text{Reminder: }29$$

Factor

$$\frac{3 ^ {4} \cdot 7 \cdot 11}{2 ^ {6}} = 97\frac{29}{64} = 97.453125$$