Solve 1930/61

$$\frac { 1930 } { 61 }$$

Evaluate

$$\frac{1930}{61}\approx 31.639344262$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1930

$$\begin{array}{l}\phantom{61)}\phantom{1}\\61\overline{)1930}\\\end{array}$$

Since 1 is less than 61, use the next digit 9 from dividend 1930 and add 0 to the quotient

$$\begin{array}{l}\phantom{61)}0\phantom{2}\\61\overline{)1930}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1930

$$\begin{array}{l}\phantom{61)}0\phantom{3}\\61\overline{)1930}\\\end{array}$$

Since 19 is less than 61, use the next digit 3 from dividend 1930 and add 0 to the quotient

$$\begin{array}{l}\phantom{61)}00\phantom{4}\\61\overline{)1930}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1930

$$\begin{array}{l}\phantom{61)}00\phantom{5}\\61\overline{)1930}\\\end{array}$$

Find closest multiple of 61 to 193. We see that 3 \times 61 = 183 is the nearest. Now subtract 183 from 193 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{61)}003\phantom{6}\\61\overline{)1930}\\\phantom{61)}\underline{\phantom{}183\phantom{9}}\\\phantom{61)9}10\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1930

$$\begin{array}{l}\phantom{61)}003\phantom{7}\\61\overline{)1930}\\\phantom{61)}\underline{\phantom{}183\phantom{9}}\\\phantom{61)9}100\\\end{array}$$

Find closest multiple of 61 to 100. We see that 1 \times 61 = 61 is the nearest. Now subtract 61 from 100 to get reminder 39. Add 1 to quotient.

$$\begin{array}{l}\phantom{61)}0031\phantom{8}\\61\overline{)1930}\\\phantom{61)}\underline{\phantom{}183\phantom{9}}\\\phantom{61)9}100\\\phantom{61)}\underline{\phantom{99}61\phantom{}}\\\phantom{61)99}39\\\end{array}$$

Since 39 is less than 61, stop the division. The reminder is 39. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }39$$

Factor

$$\frac{2 \cdot 5 \cdot 193}{61} = 31\frac{39}{61} = 31.639344262295083$$