Solve 115div53

$$115 \div 53$$

Evaluate

$$\frac{115}{53}\approx 2.169811321$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 115

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)115}\\\end{array}$$

Since 1 is less than 53, use the next digit 1 from dividend 115 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)115}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 115

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)115}\\\end{array}$$

Since 11 is less than 53, use the next digit 5 from dividend 115 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)115}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 115

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)115}\\\end{array}$$

Find closest multiple of 53 to 115. We see that 2 \times 53 = 106 is the nearest. Now subtract 106 from 115 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{53)}002\phantom{6}\\53\overline{)115}\\\phantom{53)}\underline{\phantom{}106\phantom{}}\\\phantom{53)99}9\\\end{array}$$

Since 9 is less than 53, stop the division. The reminder is 9. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }9$$

Factor

$$\frac{5 \cdot 23}{53} = 2\frac{9}{53} = 2.169811320754717$$