Solve 8095div114

$$8095 \div 114$$

Evaluate

$$\frac{8095}{114}\approx 71.00877193$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{114)}\phantom{1}\\114\overline{)8095}\\\end{array}$$

Since 8 is less than 114, use the next digit 0 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{114)}0\phantom{2}\\114\overline{)8095}\\\end{array}$$

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

$$\begin{array}{l}\phantom{114)}0\phantom{3}\\114\overline{)8095}\\\end{array}$$

Since 80 is less than 114, use the next digit 9 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{114)}00\phantom{4}\\114\overline{)8095}\\\end{array}$$

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

$$\begin{array}{l}\phantom{114)}00\phantom{5}\\114\overline{)8095}\\\end{array}$$

Find closest multiple of 114 to 809. We see that 7 \times 114 = 798 is the nearest. Now subtract 798 from 809 to get reminder 11. Add 7 to quotient.

$$\begin{array}{l}\phantom{114)}007\phantom{6}\\114\overline{)8095}\\\phantom{114)}\underline{\phantom{}798\phantom{9}}\\\phantom{114)9}11\\\end{array}$$

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

$$\begin{array}{l}\phantom{114)}007\phantom{7}\\114\overline{)8095}\\\phantom{114)}\underline{\phantom{}798\phantom{9}}\\\phantom{114)9}115\\\end{array}$$

Find closest multiple of 114 to 115. We see that 1 \times 114 = 114 is the nearest. Now subtract 114 from 115 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{114)}0071\phantom{8}\\114\overline{)8095}\\\phantom{114)}\underline{\phantom{}798\phantom{9}}\\\phantom{114)9}115\\\phantom{114)}\underline{\phantom{9}114\phantom{}}\\\phantom{114)999}1\\\end{array}$$

Since 1 is less than 114, stop the division. The reminder is 1. The topmost line 0071 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 71.

$$\text{Quotient: }71 \text{Reminder: }1$$

Factor

$$\frac{5 \cdot 1619}{2 \cdot 3 \cdot 19} = 71\frac{1}{114} = 71.00877192982456$$