Solve 1106div60

$$1106 \div 60$$

Evaluate

$$\frac{553}{30}\approx 18.433333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1106

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1106}\\\end{array}$$

Since 1 is less than 60, use the next digit 1 from dividend 1106 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1106}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1106

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1106}\\\end{array}$$

Since 11 is less than 60, use the next digit 0 from dividend 1106 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1106}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1106

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1106}\\\end{array}$$

Find closest multiple of 60 to 110. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 110 to get reminder 50. Add 1 to quotient.

$$\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)1106}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}50\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1106

$$\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)1106}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}506\\\end{array}$$

Find closest multiple of 60 to 506. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 506 to get reminder 26. Add 8 to quotient.

$$\begin{array}{l}\phantom{60)}0018\phantom{8}\\60\overline{)1106}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}506\\\phantom{60)}\underline{\phantom{9}480\phantom{}}\\\phantom{60)99}26\\\end{array}$$

Since 26 is less than 60, stop the division. The reminder is 26. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }26$$

Factor

$$\frac{7 \cdot 79}{2 \cdot 3 \cdot 5} = 18\frac{13}{30} = 18.433333333333334$$