Solve 8095div113

$$8095 \div 113$$

Evaluate

$$\frac{8095}{113}\approx 71.637168142$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{113)}\phantom{1}\\113\overline{)8095}\\\end{array}$$

Since 8 is less than 113, use the next digit 0 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{113)}0\phantom{2}\\113\overline{)8095}\\\end{array}$$

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

$$\begin{array}{l}\phantom{113)}0\phantom{3}\\113\overline{)8095}\\\end{array}$$

Since 80 is less than 113, use the next digit 9 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{113)}00\phantom{4}\\113\overline{)8095}\\\end{array}$$

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

$$\begin{array}{l}\phantom{113)}00\phantom{5}\\113\overline{)8095}\\\end{array}$$

Find closest multiple of 113 to 809. We see that 7 \times 113 = 791 is the nearest. Now subtract 791 from 809 to get reminder 18. Add 7 to quotient.

$$\begin{array}{l}\phantom{113)}007\phantom{6}\\113\overline{)8095}\\\phantom{113)}\underline{\phantom{}791\phantom{9}}\\\phantom{113)9}18\\\end{array}$$

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

$$\begin{array}{l}\phantom{113)}007\phantom{7}\\113\overline{)8095}\\\phantom{113)}\underline{\phantom{}791\phantom{9}}\\\phantom{113)9}185\\\end{array}$$

Find closest multiple of 113 to 185. We see that 1 \times 113 = 113 is the nearest. Now subtract 113 from 185 to get reminder 72. Add 1 to quotient.

$$\begin{array}{l}\phantom{113)}0071\phantom{8}\\113\overline{)8095}\\\phantom{113)}\underline{\phantom{}791\phantom{9}}\\\phantom{113)9}185\\\phantom{113)}\underline{\phantom{9}113\phantom{}}\\\phantom{113)99}72\\\end{array}$$

Since 72 is less than 113, stop the division. The reminder is 72. The topmost line 0071 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 71.

$$\text{Quotient: }71 \text{Reminder: }72$$

Factor

$$\frac{5 \cdot 1619}{113} = 71\frac{72}{113} = 71.63716814159292$$