Solve 6656/400

$$\frac { 6656 } { 400 }$$

Evaluate

$$\frac{416}{25}=16.64$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6656

$$\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)6656}\\\end{array}$$

Since 6 is less than 400, use the next digit 6 from dividend 6656 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)6656}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 6656

$$\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)6656}\\\end{array}$$

Since 66 is less than 400, use the next digit 5 from dividend 6656 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)6656}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 6656

$$\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)6656}\\\end{array}$$

Find closest multiple of 400 to 665. We see that 1 \times 400 = 400 is the nearest. Now subtract 400 from 665 to get reminder 265. Add 1 to quotient.

$$\begin{array}{l}\phantom{400)}001\phantom{6}\\400\overline{)6656}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}265\\\end{array}$$

Use the 4^{th} digit 6 from dividend 6656

$$\begin{array}{l}\phantom{400)}001\phantom{7}\\400\overline{)6656}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}2656\\\end{array}$$

Find closest multiple of 400 to 2656. We see that 6 \times 400 = 2400 is the nearest. Now subtract 2400 from 2656 to get reminder 256. Add 6 to quotient.

$$\begin{array}{l}\phantom{400)}0016\phantom{8}\\400\overline{)6656}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}2656\\\phantom{400)}\underline{\phantom{}2400\phantom{}}\\\phantom{400)9}256\\\end{array}$$

Since 256 is less than 400, stop the division. The reminder is 256. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }256$$

Factor

$$\frac{2 ^ {5} \cdot 13}{5 ^ {2}} = 16\frac{16}{25} = 16.64$$