Solve 8095div111

$$8095 \div 111$$

Evaluate

$$\frac{8095}{111}\approx 72.927927928$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{111)}\phantom{1}\\111\overline{)8095}\\\end{array}$$

Since 8 is less than 111, use the next digit 0 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{111)}0\phantom{2}\\111\overline{)8095}\\\end{array}$$

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

$$\begin{array}{l}\phantom{111)}0\phantom{3}\\111\overline{)8095}\\\end{array}$$

Since 80 is less than 111, use the next digit 9 from dividend 8095 and add 0 to the quotient

$$\begin{array}{l}\phantom{111)}00\phantom{4}\\111\overline{)8095}\\\end{array}$$

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

$$\begin{array}{l}\phantom{111)}00\phantom{5}\\111\overline{)8095}\\\end{array}$$

Find closest multiple of 111 to 809. We see that 7 \times 111 = 777 is the nearest. Now subtract 777 from 809 to get reminder 32. Add 7 to quotient.

$$\begin{array}{l}\phantom{111)}007\phantom{6}\\111\overline{)8095}\\\phantom{111)}\underline{\phantom{}777\phantom{9}}\\\phantom{111)9}32\\\end{array}$$

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

$$\begin{array}{l}\phantom{111)}007\phantom{7}\\111\overline{)8095}\\\phantom{111)}\underline{\phantom{}777\phantom{9}}\\\phantom{111)9}325\\\end{array}$$

Find closest multiple of 111 to 325. We see that 2 \times 111 = 222 is the nearest. Now subtract 222 from 325 to get reminder 103. Add 2 to quotient.

$$\begin{array}{l}\phantom{111)}0072\phantom{8}\\111\overline{)8095}\\\phantom{111)}\underline{\phantom{}777\phantom{9}}\\\phantom{111)9}325\\\phantom{111)}\underline{\phantom{9}222\phantom{}}\\\phantom{111)9}103\\\end{array}$$

Since 103 is less than 111, stop the division. The reminder is 103. The topmost line 0072 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 72.

$$\text{Quotient: }72 \text{Reminder: }103$$

Factor

$$\frac{5 \cdot 1619}{3 \cdot 37} = 72\frac{103}{111} = 72.92792792792793$$