Solve 830:16

$$830 : 16$$

Evaluate

$$\frac{415}{8}=51.875$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 830

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)830}\\\end{array}$$

Since 8 is less than 16, use the next digit 3 from dividend 830 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)830}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 830

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)830}\\\end{array}$$

Find closest multiple of 16 to 83. We see that 5 \times 16 = 80 is the nearest. Now subtract 80 from 83 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{16)}05\phantom{4}\\16\overline{)830}\\\phantom{16)}\underline{\phantom{}80\phantom{9}}\\\phantom{16)9}3\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 830

$$\begin{array}{l}\phantom{16)}05\phantom{5}\\16\overline{)830}\\\phantom{16)}\underline{\phantom{}80\phantom{9}}\\\phantom{16)9}30\\\end{array}$$

Find closest multiple of 16 to 30. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 30 to get reminder 14. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}051\phantom{6}\\16\overline{)830}\\\phantom{16)}\underline{\phantom{}80\phantom{9}}\\\phantom{16)9}30\\\phantom{16)}\underline{\phantom{9}16\phantom{}}\\\phantom{16)9}14\\\end{array}$$

Since 14 is less than 16, stop the division. The reminder is 14. The topmost line 051 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 51.

$$\text{Quotient: }51 \text{Reminder: }14$$

Factor

$$\frac{5 \cdot 83}{2 ^ {3}} = 51\frac{7}{8} = 51.875$$