Solve 1116div169=

$$1116 \div 169=$$

Evaluate

$$\frac{1116}{169}\approx 6.603550296$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1116

$$\begin{array}{l}\phantom{169)}\phantom{1}\\169\overline{)1116}\\\end{array}$$

Since 1 is less than 169, use the next digit 1 from dividend 1116 and add 0 to the quotient

$$\begin{array}{l}\phantom{169)}0\phantom{2}\\169\overline{)1116}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1116

$$\begin{array}{l}\phantom{169)}0\phantom{3}\\169\overline{)1116}\\\end{array}$$

Since 11 is less than 169, use the next digit 1 from dividend 1116 and add 0 to the quotient

$$\begin{array}{l}\phantom{169)}00\phantom{4}\\169\overline{)1116}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1116

$$\begin{array}{l}\phantom{169)}00\phantom{5}\\169\overline{)1116}\\\end{array}$$

Since 111 is less than 169, use the next digit 6 from dividend 1116 and add 0 to the quotient

$$\begin{array}{l}\phantom{169)}000\phantom{6}\\169\overline{)1116}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1116

$$\begin{array}{l}\phantom{169)}000\phantom{7}\\169\overline{)1116}\\\end{array}$$

Find closest multiple of 169 to 1116. We see that 6 \times 169 = 1014 is the nearest. Now subtract 1014 from 1116 to get reminder 102. Add 6 to quotient.

$$\begin{array}{l}\phantom{169)}0006\phantom{8}\\169\overline{)1116}\\\phantom{169)}\underline{\phantom{}1014\phantom{}}\\\phantom{169)9}102\\\end{array}$$

Since 102 is less than 169, stop the division. The reminder is 102. The topmost line 0006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }102$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 31}{13 ^ {2}} = 6\frac{102}{169} = 6.603550295857988$$