Solve 1264div400

$$1264 \div 400$$

Evaluate

$$\frac{79}{25}=3.16$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1264

$$\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)1264}\\\end{array}$$

Since 1 is less than 400, use the next digit 2 from dividend 1264 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)1264}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1264

$$\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)1264}\\\end{array}$$

Since 12 is less than 400, use the next digit 6 from dividend 1264 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)1264}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1264

$$\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)1264}\\\end{array}$$

Since 126 is less than 400, use the next digit 4 from dividend 1264 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}000\phantom{6}\\400\overline{)1264}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1264

$$\begin{array}{l}\phantom{400)}000\phantom{7}\\400\overline{)1264}\\\end{array}$$

Find closest multiple of 400 to 1264. We see that 3 \times 400 = 1200 is the nearest. Now subtract 1200 from 1264 to get reminder 64. Add 3 to quotient.

$$\begin{array}{l}\phantom{400)}0003\phantom{8}\\400\overline{)1264}\\\phantom{400)}\underline{\phantom{}1200\phantom{}}\\\phantom{400)99}64\\\end{array}$$

Since 64 is less than 400, stop the division. The reminder is 64. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }64$$

Factor

$$\frac{79}{5 ^ {2}} = 3\frac{4}{25} = 3.16$$