Solve 1158div55

$$1158 \div 55$$

Evaluate

$$\frac{1158}{55}\approx 21.054545455$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1158

$$\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)1158}\\\end{array}$$

Since 1 is less than 55, use the next digit 1 from dividend 1158 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)1158}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1158

$$\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)1158}\\\end{array}$$

Since 11 is less than 55, use the next digit 5 from dividend 1158 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)1158}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1158

$$\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)1158}\\\end{array}$$

Find closest multiple of 55 to 115. We see that 2 \times 55 = 110 is the nearest. Now subtract 110 from 115 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{55)}002\phantom{6}\\55\overline{)1158}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)99}5\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1158

$$\begin{array}{l}\phantom{55)}002\phantom{7}\\55\overline{)1158}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)99}58\\\end{array}$$

Find closest multiple of 55 to 58. We see that 1 \times 55 = 55 is the nearest. Now subtract 55 from 58 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{55)}0021\phantom{8}\\55\overline{)1158}\\\phantom{55)}\underline{\phantom{}110\phantom{9}}\\\phantom{55)99}58\\\phantom{55)}\underline{\phantom{99}55\phantom{}}\\\phantom{55)999}3\\\end{array}$$

Since 3 is less than 55, 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

$$\frac{2 \cdot 3 \cdot 193}{5 \cdot 11} = 21\frac{3}{55} = 21.054545454545455$$