Solve 1100div52

$$1100 \div 52$$

Evaluate

$$\frac{275}{13}\approx 21.153846154$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1100

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)1100}\\\end{array}$$

Since 1 is less than 52, use the next digit 1 from dividend 1100 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)1100}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1100

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)1100}\\\end{array}$$

Since 11 is less than 52, use the next digit 0 from dividend 1100 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)1100}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1100

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)1100}\\\end{array}$$

Find closest multiple of 52 to 110. We see that 2 \times 52 = 104 is the nearest. Now subtract 104 from 110 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{52)}002\phantom{6}\\52\overline{)1100}\\\phantom{52)}\underline{\phantom{}104\phantom{9}}\\\phantom{52)99}6\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1100

$$\begin{array}{l}\phantom{52)}002\phantom{7}\\52\overline{)1100}\\\phantom{52)}\underline{\phantom{}104\phantom{9}}\\\phantom{52)99}60\\\end{array}$$

Find closest multiple of 52 to 60. We see that 1 \times 52 = 52 is the nearest. Now subtract 52 from 60 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{52)}0021\phantom{8}\\52\overline{)1100}\\\phantom{52)}\underline{\phantom{}104\phantom{9}}\\\phantom{52)99}60\\\phantom{52)}\underline{\phantom{99}52\phantom{}}\\\phantom{52)999}8\\\end{array}$$

Since 8 is less than 52, stop the division. The reminder is 8. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }8$$

Factor

$$\frac{5 ^ {2} \cdot 11}{13} = 21\frac{2}{13} = 21.153846153846153$$