Solve 232/64

$$\frac{ 232 }{ 64 }$$

Evaluate

$$\frac{29}{8}=3.625$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 232

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)232}\\\end{array}$$

Since 2 is less than 64, use the next digit 3 from dividend 232 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)232}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 232

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)232}\\\end{array}$$

Since 23 is less than 64, use the next digit 2 from dividend 232 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)232}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 232

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)232}\\\end{array}$$

Find closest multiple of 64 to 232. We see that 3 \times 64 = 192 is the nearest. Now subtract 192 from 232 to get reminder 40. Add 3 to quotient.

$$\begin{array}{l}\phantom{64)}003\phantom{6}\\64\overline{)232}\\\phantom{64)}\underline{\phantom{}192\phantom{}}\\\phantom{64)9}40\\\end{array}$$

Since 40 is less than 64, stop the division. The reminder is 40. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }40$$

Factor

$$\frac{29}{2 ^ {3}} = 3\frac{5}{8} = 3.625$$