Solve 123:16

$$123 : 16$$

Evaluate

$$\frac{123}{16}=7.6875$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 123

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)123}\\\end{array}$$

Since 1 is less than 16, use the next digit 2 from dividend 123 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)123}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 123

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)123}\\\end{array}$$

Since 12 is less than 16, use the next digit 3 from dividend 123 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)123}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 123

$$\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)123}\\\end{array}$$

Find closest multiple of 16 to 123. We see that 7 \times 16 = 112 is the nearest. Now subtract 112 from 123 to get reminder 11. Add 7 to quotient.

$$\begin{array}{l}\phantom{16)}007\phantom{6}\\16\overline{)123}\\\phantom{16)}\underline{\phantom{}112\phantom{}}\\\phantom{16)9}11\\\end{array}$$

Since 11 is less than 16, stop the division. The reminder is 11. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }11$$

Factor

$$\frac{3 \cdot 41}{2 ^ {4}} = 7\frac{11}{16} = 7.6875$$