Solve 42/16

$$\frac { 42 } { 16 }$$

Evaluate

$$\frac{21}{8}=2.625$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 42

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)42}\\\end{array}$$

Since 4 is less than 16, use the next digit 2 from dividend 42 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)42}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 42

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)42}\\\end{array}$$

Find closest multiple of 16 to 42. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 42 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)42}\\\phantom{16)}\underline{\phantom{}32\phantom{}}\\\phantom{16)}10\\\end{array}$$

Since 10 is less than 16, stop the division. The reminder is 10. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }10$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$