Solve 1095/52

$$\frac { 1095 } { 52 }$$

Evaluate

$$\frac{1095}{52}\approx 21.057692308$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1095

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)1095}\\\end{array}$$

Since 1 is less than 52, use the next digit 0 from dividend 1095 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)1095}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1095

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)1095}\\\end{array}$$

Since 10 is less than 52, use the next digit 9 from dividend 1095 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)1095}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1095

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)1095}\\\end{array}$$

Find closest multiple of 52 to 109. We see that 2 \times 52 = 104 is the nearest. Now subtract 104 from 109 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{52)}002\phantom{6}\\52\overline{)1095}\\\phantom{52)}\underline{\phantom{}104\phantom{9}}\\\phantom{52)99}5\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1095

$$\begin{array}{l}\phantom{52)}002\phantom{7}\\52\overline{)1095}\\\phantom{52)}\underline{\phantom{}104\phantom{9}}\\\phantom{52)99}55\\\end{array}$$

Find closest multiple of 52 to 55. We see that 1 \times 52 = 52 is the nearest. Now subtract 52 from 55 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{52)}0021\phantom{8}\\52\overline{)1095}\\\phantom{52)}\underline{\phantom{}104\phantom{9}}\\\phantom{52)99}55\\\phantom{52)}\underline{\phantom{99}52\phantom{}}\\\phantom{52)999}3\\\end{array}$$

Since 3 is less than 52, stop the division. The reminder is 3. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }3$$

Factor

$$\frac{3 \cdot 5 \cdot 73}{2 ^ {2} \cdot 13} = 21\frac{3}{52} = 21.057692307692307$$