Solve 113/16

$$\frac { 113 } { 16 }$$

Evaluate

$$\frac{113}{16}=7.0625$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)113}\\\end{array}$$

Since 1 is less than 16, use the next digit 1 from dividend 113 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)113}\\\end{array}$$

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

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)113}\\\end{array}$$

Since 11 is less than 16, use the next digit 3 from dividend 113 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)113}\\\end{array}$$

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

$$\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)113}\\\end{array}$$

Find closest multiple of 16 to 113. We see that 7 \times 16 = 112 is the nearest. Now subtract 112 from 113 to get reminder 1. Add 7 to quotient.

$$\begin{array}{l}\phantom{16)}007\phantom{6}\\16\overline{)113}\\\phantom{16)}\underline{\phantom{}112\phantom{}}\\\phantom{16)99}1\\\end{array}$$

Since 1 is less than 16, stop the division. The reminder is 1. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }1$$

Factor

$$\frac{113}{2 ^ {4}} = 7\frac{1}{16} = 7.0625$$