Solve 6657/64

$$\frac { 6657 } { 64 }$$

Evaluate

$$\frac{6657}{64}=104.015625$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6657

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)6657}\\\end{array}$$

Since 6 is less than 64, use the next digit 6 from dividend 6657 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)6657}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 6657

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)6657}\\\end{array}$$

Find closest multiple of 64 to 66. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 66 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{64)}01\phantom{4}\\64\overline{)6657}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}2\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 6657

$$\begin{array}{l}\phantom{64)}01\phantom{5}\\64\overline{)6657}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}25\\\end{array}$$

Since 25 is less than 64, use the next digit 7 from dividend 6657 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}010\phantom{6}\\64\overline{)6657}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}25\\\end{array}$$

Use the 4^{th} digit 7 from dividend 6657

$$\begin{array}{l}\phantom{64)}010\phantom{7}\\64\overline{)6657}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}257\\\end{array}$$

Find closest multiple of 64 to 257. We see that 4 \times 64 = 256 is the nearest. Now subtract 256 from 257 to get reminder 1. Add 4 to quotient.

$$\begin{array}{l}\phantom{64)}0104\phantom{8}\\64\overline{)6657}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}257\\\phantom{64)}\underline{\phantom{9}256\phantom{}}\\\phantom{64)999}1\\\end{array}$$

Since 1 is less than 64, stop the division. The reminder is 1. The topmost line 0104 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 104.

$$\text{Quotient: }104 \text{Reminder: }1$$

Factor

$$\frac{3 \cdot 7 \cdot 317}{2 ^ {6}} = 104\frac{1}{64} = 104.015625$$