Solve 3925/32

$$\frac { 3925 } { 32 }$$

Evaluate

$$\frac{3925}{32}=122.65625$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3925

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)3925}\\\end{array}$$

Since 3 is less than 32, use the next digit 9 from dividend 3925 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)3925}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3925

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)3925}\\\end{array}$$

Find closest multiple of 32 to 39. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 39 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)3925}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}7\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3925

$$\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)3925}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}72\\\end{array}$$

Find closest multiple of 32 to 72. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 72 to get reminder 8. Add 2 to quotient.

$$\begin{array}{l}\phantom{32)}012\phantom{6}\\32\overline{)3925}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}72\\\phantom{32)}\underline{\phantom{9}64\phantom{9}}\\\phantom{32)99}8\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3925

$$\begin{array}{l}\phantom{32)}012\phantom{7}\\32\overline{)3925}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}72\\\phantom{32)}\underline{\phantom{9}64\phantom{9}}\\\phantom{32)99}85\\\end{array}$$

Find closest multiple of 32 to 85. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 85 to get reminder 21. Add 2 to quotient.

$$\begin{array}{l}\phantom{32)}0122\phantom{8}\\32\overline{)3925}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)9}72\\\phantom{32)}\underline{\phantom{9}64\phantom{9}}\\\phantom{32)99}85\\\phantom{32)}\underline{\phantom{99}64\phantom{}}\\\phantom{32)99}21\\\end{array}$$

Since 21 is less than 32, stop the division. The reminder is 21. The topmost line 0122 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 122.

$$\text{Quotient: }122 \text{Reminder: }21$$

Factor

$$\frac{5 ^ {2} \cdot 157}{2 ^ {5}} = 122\frac{21}{32} = 122.65625$$