Solve 109div16

$$109 \div 16$$

Evaluate

$$\frac{109}{16}=6.8125$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 109

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)109}\\\end{array}$$

Since 1 is less than 16, use the next digit 0 from dividend 109 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)109}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 109

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)109}\\\end{array}$$

Since 10 is less than 16, use the next digit 9 from dividend 109 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)109}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 109

$$\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)109}\\\end{array}$$

Find closest multiple of 16 to 109. We see that 6 \times 16 = 96 is the nearest. Now subtract 96 from 109 to get reminder 13. Add 6 to quotient.

$$\begin{array}{l}\phantom{16)}006\phantom{6}\\16\overline{)109}\\\phantom{16)}\underline{\phantom{9}96\phantom{}}\\\phantom{16)9}13\\\end{array}$$

Since 13 is less than 16, stop the division. The reminder is 13. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }13$$

Factor

$$\frac{109}{2 ^ {4}} = 6\frac{13}{16} = 6.8125$$