Solve 167/32

$$\frac{ 167 }{ 32 }$$

Evaluate

$$\frac{167}{32}=5.21875$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 167

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)167}\\\end{array}$$

Since 1 is less than 32, use the next digit 6 from dividend 167 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)167}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 167

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)167}\\\end{array}$$

Since 16 is less than 32, use the next digit 7 from dividend 167 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)167}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 167

$$\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)167}\\\end{array}$$

Find closest multiple of 32 to 167. We see that 5 \times 32 = 160 is the nearest. Now subtract 160 from 167 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{32)}005\phantom{6}\\32\overline{)167}\\\phantom{32)}\underline{\phantom{}160\phantom{}}\\\phantom{32)99}7\\\end{array}$$

Since 7 is less than 32, stop the division. The reminder is 7. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }7$$

Factor

$$\frac{167}{2 ^ {5}} = 5\frac{7}{32} = 5.21875$$