Solve 362/25

$$\frac { 362 } { 25 }$$

Evaluate

$$\frac{362}{25}=14.48$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 362

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)362}\\\end{array}$$

Since 3 is less than 25, use the next digit 6 from dividend 362 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)362}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 362

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)362}\\\end{array}$$

Find closest multiple of 25 to 36. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 36 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)362}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}11\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 362

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)362}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}112\\\end{array}$$

Find closest multiple of 25 to 112. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 112 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{25)}014\phantom{6}\\25\overline{)362}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}112\\\phantom{25)}\underline{\phantom{}100\phantom{}}\\\phantom{25)9}12\\\end{array}$$

Since 12 is less than 25, stop the division. The reminder is 12. The topmost line 014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }12$$

Factor

$$\frac{2 \cdot 181}{5 ^ {2}} = 14\frac{12}{25} = 14.48$$