Solve 34:16

$$34 : 16$$

Evaluate

$$\frac{17}{8}=2.125$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)34}\\\end{array}$$

Since 3 is less than 16, use the next digit 4 from dividend 34 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)34}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)34}\\\end{array}$$

Find closest multiple of 16 to 34. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 34 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)34}\\\phantom{16)}\underline{\phantom{}32\phantom{}}\\\phantom{16)9}2\\\end{array}$$

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

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

Factor

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$