Solve 200div31

$$200 \div 31$$

Evaluate

$$\frac{200}{31}\approx 6.451612903$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 200

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)200}\\\end{array}$$

Since 2 is less than 31, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)200}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 200

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)200}\\\end{array}$$

Since 20 is less than 31, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}00\phantom{4}\\31\overline{)200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 200

$$\begin{array}{l}\phantom{31)}00\phantom{5}\\31\overline{)200}\\\end{array}$$

Find closest multiple of 31 to 200. We see that 6 \times 31 = 186 is the nearest. Now subtract 186 from 200 to get reminder 14. Add 6 to quotient.

$$\begin{array}{l}\phantom{31)}006\phantom{6}\\31\overline{)200}\\\phantom{31)}\underline{\phantom{}186\phantom{}}\\\phantom{31)9}14\\\end{array}$$

Since 14 is less than 31, stop the division. The reminder is 14. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }14$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{31} = 6\frac{14}{31} = 6.451612903225806$$