Solve 162/31

$$162 / 31$$

Evaluate

$$\frac{162}{31}\approx 5.225806452$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 162

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)162}\\\end{array}$$

Since 1 is less than 31, use the next digit 6 from dividend 162 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)162}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 162

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)162}\\\end{array}$$

Since 16 is less than 31, use the next digit 2 from dividend 162 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}00\phantom{4}\\31\overline{)162}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 162

$$\begin{array}{l}\phantom{31)}00\phantom{5}\\31\overline{)162}\\\end{array}$$

Find closest multiple of 31 to 162. We see that 5 \times 31 = 155 is the nearest. Now subtract 155 from 162 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{31)}005\phantom{6}\\31\overline{)162}\\\phantom{31)}\underline{\phantom{}155\phantom{}}\\\phantom{31)99}7\\\end{array}$$

Since 7 is less than 31, stop the division. The reminder is 7. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }7$$

Factor

$$\frac{2 \cdot 3 ^ {4}}{31} = 5\frac{7}{31} = 5.225806451612903$$