Solve 113:29

$$113 : 29$$

Evaluate

$$\frac{113}{29}\approx 3.896551724$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 113

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)113}\\\end{array}$$

Since 1 is less than 29, use the next digit 1 from dividend 113 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)113}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 113

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)113}\\\end{array}$$

Since 11 is less than 29, use the next digit 3 from dividend 113 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)113}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 113

$$\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)113}\\\end{array}$$

Find closest multiple of 29 to 113. We see that 3 \times 29 = 87 is the nearest. Now subtract 87 from 113 to get reminder 26. Add 3 to quotient.

$$\begin{array}{l}\phantom{29)}003\phantom{6}\\29\overline{)113}\\\phantom{29)}\underline{\phantom{9}87\phantom{}}\\\phantom{29)9}26\\\end{array}$$

Since 26 is less than 29, stop the division. The reminder is 26. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }26$$

Factor

$$\frac{113}{29} = 3\frac{26}{29} = 3.896551724137931$$