Solve 1947/108

$$\frac { 1947 } { 108 }$$

Evaluate

$$\frac{649}{36}\approx 18.027777778$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1947

$$\begin{array}{l}\phantom{108)}\phantom{1}\\108\overline{)1947}\\\end{array}$$

Since 1 is less than 108, use the next digit 9 from dividend 1947 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}0\phantom{2}\\108\overline{)1947}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1947

$$\begin{array}{l}\phantom{108)}0\phantom{3}\\108\overline{)1947}\\\end{array}$$

Since 19 is less than 108, use the next digit 4 from dividend 1947 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}00\phantom{4}\\108\overline{)1947}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 1947

$$\begin{array}{l}\phantom{108)}00\phantom{5}\\108\overline{)1947}\\\end{array}$$

Find closest multiple of 108 to 194. We see that 1 \times 108 = 108 is the nearest. Now subtract 108 from 194 to get reminder 86. Add 1 to quotient.

$$\begin{array}{l}\phantom{108)}001\phantom{6}\\108\overline{)1947}\\\phantom{108)}\underline{\phantom{}108\phantom{9}}\\\phantom{108)9}86\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1947

$$\begin{array}{l}\phantom{108)}001\phantom{7}\\108\overline{)1947}\\\phantom{108)}\underline{\phantom{}108\phantom{9}}\\\phantom{108)9}867\\\end{array}$$

Find closest multiple of 108 to 867. We see that 8 \times 108 = 864 is the nearest. Now subtract 864 from 867 to get reminder 3. Add 8 to quotient.

$$\begin{array}{l}\phantom{108)}0018\phantom{8}\\108\overline{)1947}\\\phantom{108)}\underline{\phantom{}108\phantom{9}}\\\phantom{108)9}867\\\phantom{108)}\underline{\phantom{9}864\phantom{}}\\\phantom{108)999}3\\\end{array}$$

Since 3 is less than 108, stop the division. The reminder is 3. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }3$$

Factor

$$\frac{11 \cdot 59}{2 ^ {2} \cdot 3 ^ {2}} = 18\frac{1}{36} = 18.02777777777778$$