Solve 1959div60

$$1959 \div 60$$

Evaluate

$$\frac{653}{20}=32.65$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1959

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1959}\\\end{array}$$

Since 1 is less than 60, use the next digit 9 from dividend 1959 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1959}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1959

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1959}\\\end{array}$$

Since 19 is less than 60, use the next digit 5 from dividend 1959 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1959}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1959

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1959}\\\end{array}$$

Find closest multiple of 60 to 195. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 195 to get reminder 15. Add 3 to quotient.

$$\begin{array}{l}\phantom{60)}003\phantom{6}\\60\overline{)1959}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}15\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1959

$$\begin{array}{l}\phantom{60)}003\phantom{7}\\60\overline{)1959}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}159\\\end{array}$$

Find closest multiple of 60 to 159. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 159 to get reminder 39. Add 2 to quotient.

$$\begin{array}{l}\phantom{60)}0032\phantom{8}\\60\overline{)1959}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}159\\\phantom{60)}\underline{\phantom{9}120\phantom{}}\\\phantom{60)99}39\\\end{array}$$

Since 39 is less than 60, stop the division. The reminder is 39. The topmost line 0032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.

$$\text{Quotient: }32 \text{Reminder: }39$$

Factor

$$\frac{653}{2 ^ {2} \cdot 5} = 32\frac{13}{20} = 32.65$$