Solve 1600div196

$$1600 \div 196$$

Evaluate

$$\frac{400}{49}\approx 8.163265306$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1600

$$\begin{array}{l}\phantom{196)}\phantom{1}\\196\overline{)1600}\\\end{array}$$

Since 1 is less than 196, use the next digit 6 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{196)}0\phantom{2}\\196\overline{)1600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1600

$$\begin{array}{l}\phantom{196)}0\phantom{3}\\196\overline{)1600}\\\end{array}$$

Since 16 is less than 196, use the next digit 0 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{196)}00\phantom{4}\\196\overline{)1600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1600

$$\begin{array}{l}\phantom{196)}00\phantom{5}\\196\overline{)1600}\\\end{array}$$

Since 160 is less than 196, use the next digit 0 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{196)}000\phantom{6}\\196\overline{)1600}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1600

$$\begin{array}{l}\phantom{196)}000\phantom{7}\\196\overline{)1600}\\\end{array}$$

Find closest multiple of 196 to 1600. We see that 8 \times 196 = 1568 is the nearest. Now subtract 1568 from 1600 to get reminder 32. Add 8 to quotient.

$$\begin{array}{l}\phantom{196)}0008\phantom{8}\\196\overline{)1600}\\\phantom{196)}\underline{\phantom{}1568\phantom{}}\\\phantom{196)99}32\\\end{array}$$

Since 32 is less than 196, stop the division. The reminder is 32. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }32$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{7 ^ {2}} = 8\frac{8}{49} = 8.16326530612245$$