Solve 8095div108

$$8095 \div 108$$

Evaluate

$$\frac{8095}{108}\approx 74.953703704$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8095

$$\begin{array}{l}\phantom{108)}\phantom{1}\\108\overline{)8095}\\\end{array}$$

Since 8 is less than 108, use the next digit 0 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}0\phantom{2}\\108\overline{)8095}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8095

$$\begin{array}{l}\phantom{108)}0\phantom{3}\\108\overline{)8095}\\\end{array}$$

Since 80 is less than 108, use the next digit 9 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}00\phantom{4}\\108\overline{)8095}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 8095

$$\begin{array}{l}\phantom{108)}00\phantom{5}\\108\overline{)8095}\\\end{array}$$

Find closest multiple of 108 to 809. We see that 7 \times 108 = 756 is the nearest. Now subtract 756 from 809 to get reminder 53. Add 7 to quotient.

$$\begin{array}{l}\phantom{108)}007\phantom{6}\\108\overline{)8095}\\\phantom{108)}\underline{\phantom{}756\phantom{9}}\\\phantom{108)9}53\\\end{array}$$

Use the 4^{th} digit 5 from dividend 8095

$$\begin{array}{l}\phantom{108)}007\phantom{7}\\108\overline{)8095}\\\phantom{108)}\underline{\phantom{}756\phantom{9}}\\\phantom{108)9}535\\\end{array}$$

Find closest multiple of 108 to 535. We see that 4 \times 108 = 432 is the nearest. Now subtract 432 from 535 to get reminder 103. Add 4 to quotient.

$$\begin{array}{l}\phantom{108)}0074\phantom{8}\\108\overline{)8095}\\\phantom{108)}\underline{\phantom{}756\phantom{9}}\\\phantom{108)9}535\\\phantom{108)}\underline{\phantom{9}432\phantom{}}\\\phantom{108)9}103\\\end{array}$$

Since 103 is less than 108, stop the division. The reminder is 103. The topmost line 0074 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 74.

$$\text{Quotient: }74 \text{Reminder: }103$$

Factor

$$\frac{5 \cdot 1619}{2 ^ {2} \cdot 3 ^ {3}} = 74\frac{103}{108} = 74.95370370370371$$