Solve 1905div108

$$1905 \div 108$$

Evaluate

$$\frac{635}{36}\approx 17.638888889$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1905

$$\begin{array}{l}\phantom{108)}\phantom{1}\\108\overline{)1905}\\\end{array}$$

Since 1 is less than 108, use the next digit 9 from dividend 1905 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}0\phantom{2}\\108\overline{)1905}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1905

$$\begin{array}{l}\phantom{108)}0\phantom{3}\\108\overline{)1905}\\\end{array}$$

Since 19 is less than 108, use the next digit 0 from dividend 1905 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}00\phantom{4}\\108\overline{)1905}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1905

$$\begin{array}{l}\phantom{108)}00\phantom{5}\\108\overline{)1905}\\\end{array}$$

Find closest multiple of 108 to 190. We see that 1 \times 108 = 108 is the nearest. Now subtract 108 from 190 to get reminder 82. Add 1 to quotient.

$$\begin{array}{l}\phantom{108)}001\phantom{6}\\108\overline{)1905}\\\phantom{108)}\underline{\phantom{}108\phantom{9}}\\\phantom{108)9}82\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1905

$$\begin{array}{l}\phantom{108)}001\phantom{7}\\108\overline{)1905}\\\phantom{108)}\underline{\phantom{}108\phantom{9}}\\\phantom{108)9}825\\\end{array}$$

Find closest multiple of 108 to 825. We see that 7 \times 108 = 756 is the nearest. Now subtract 756 from 825 to get reminder 69. Add 7 to quotient.

$$\begin{array}{l}\phantom{108)}0017\phantom{8}\\108\overline{)1905}\\\phantom{108)}\underline{\phantom{}108\phantom{9}}\\\phantom{108)9}825\\\phantom{108)}\underline{\phantom{9}756\phantom{}}\\\phantom{108)99}69\\\end{array}$$

Since 69 is less than 108, stop the division. The reminder is 69. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }69$$

Factor

$$\frac{5 \cdot 127}{2 ^ {2} \cdot 3 ^ {2}} = 17\frac{23}{36} = 17.63888888888889$$