Solve 8095div107

$$8095 \div 107$$

Evaluate

$$\frac{8095}{107}\approx 75.654205607$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{107)}\phantom{1}\\107\overline{)8095}\\\end{array}$$

Since 8 is less than 107, use the next digit 0 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{107)}0\phantom{2}\\107\overline{)8095}\\\end{array}$$

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

$$\begin{array}{l}\phantom{107)}0\phantom{3}\\107\overline{)8095}\\\end{array}$$

Since 80 is less than 107, use the next digit 9 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{107)}00\phantom{4}\\107\overline{)8095}\\\end{array}$$

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

$$\begin{array}{l}\phantom{107)}00\phantom{5}\\107\overline{)8095}\\\end{array}$$

Find closest multiple of 107 to 809. We see that 7 \times 107 = 749 is the nearest. Now subtract 749 from 809 to get reminder 60. Add 7 to quotient.

$$\begin{array}{l}\phantom{107)}007\phantom{6}\\107\overline{)8095}\\\phantom{107)}\underline{\phantom{}749\phantom{9}}\\\phantom{107)9}60\\\end{array}$$

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

$$\begin{array}{l}\phantom{107)}007\phantom{7}\\107\overline{)8095}\\\phantom{107)}\underline{\phantom{}749\phantom{9}}\\\phantom{107)9}605\\\end{array}$$

Find closest multiple of 107 to 605. We see that 5 \times 107 = 535 is the nearest. Now subtract 535 from 605 to get reminder 70. Add 5 to quotient.

$$\begin{array}{l}\phantom{107)}0075\phantom{8}\\107\overline{)8095}\\\phantom{107)}\underline{\phantom{}749\phantom{9}}\\\phantom{107)9}605\\\phantom{107)}\underline{\phantom{9}535\phantom{}}\\\phantom{107)99}70\\\end{array}$$

Since 70 is less than 107, stop the division. The reminder is 70. The topmost line 0075 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 75.

$$\text{Quotient: }75 \text{Reminder: }70$$

Factor

$$\frac{5 \cdot 1619}{107} = 75\frac{70}{107} = 75.65420560747664$$