Solve 216div31

$$216 \div 31$$

Evaluate

$$\frac{216}{31}\approx 6.967741935$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 216

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)216}\\\end{array}$$

Since 2 is less than 31, use the next digit 1 from dividend 216 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)216}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 216

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)216}\\\end{array}$$

Since 21 is less than 31, use the next digit 6 from dividend 216 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}00\phantom{4}\\31\overline{)216}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 216

$$\begin{array}{l}\phantom{31)}00\phantom{5}\\31\overline{)216}\\\end{array}$$

Find closest multiple of 31 to 216. We see that 6 \times 31 = 186 is the nearest. Now subtract 186 from 216 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{31)}006\phantom{6}\\31\overline{)216}\\\phantom{31)}\underline{\phantom{}186\phantom{}}\\\phantom{31)9}30\\\end{array}$$

Since 30 is less than 31, stop the division. The reminder is 30. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }30$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {3}}{31} = 6\frac{30}{31} = 6.967741935483871$$