Solve 100div13

$$100 \div 13$$

Evaluate

$$\frac{100}{13}\approx 7.692307692$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 100

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)100}\\\end{array}$$

Since 1 is less than 13, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)100}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 100

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)100}\\\end{array}$$

Since 10 is less than 13, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}00\phantom{4}\\13\overline{)100}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 100

$$\begin{array}{l}\phantom{13)}00\phantom{5}\\13\overline{)100}\\\end{array}$$

Find closest multiple of 13 to 100. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 100 to get reminder 9. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}007\phantom{6}\\13\overline{)100}\\\phantom{13)}\underline{\phantom{9}91\phantom{}}\\\phantom{13)99}9\\\end{array}$$

Since 9 is less than 13, stop the division. The reminder is 9. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }9$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{13} = 7\frac{9}{13} = 7.6923076923076925$$