Solve 3208/25

$$\frac{ 3208 }{ 25 }$$

Evaluate

$$\frac{3208}{25}=128.32$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3208

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)3208}\\\end{array}$$

Since 3 is less than 25, use the next digit 2 from dividend 3208 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)3208}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 3208

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)3208}\\\end{array}$$

Find closest multiple of 25 to 32. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 32 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)3208}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}7\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3208

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)3208}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}70\\\end{array}$$

Find closest multiple of 25 to 70. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 70 to get reminder 20. Add 2 to quotient.

$$\begin{array}{l}\phantom{25)}012\phantom{6}\\25\overline{)3208}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}70\\\phantom{25)}\underline{\phantom{9}50\phantom{9}}\\\phantom{25)9}20\\\end{array}$$

Use the 4^{th} digit 8 from dividend 3208

$$\begin{array}{l}\phantom{25)}012\phantom{7}\\25\overline{)3208}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}70\\\phantom{25)}\underline{\phantom{9}50\phantom{9}}\\\phantom{25)9}208\\\end{array}$$

Find closest multiple of 25 to 208. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 208 to get reminder 8. Add 8 to quotient.

$$\begin{array}{l}\phantom{25)}0128\phantom{8}\\25\overline{)3208}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)9}70\\\phantom{25)}\underline{\phantom{9}50\phantom{9}}\\\phantom{25)9}208\\\phantom{25)}\underline{\phantom{9}200\phantom{}}\\\phantom{25)999}8\\\end{array}$$

Since 8 is less than 25, stop the division. The reminder is 8. The topmost line 0128 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 128.

$$\text{Quotient: }128 \text{Reminder: }8$$

Factor

$$\frac{2 ^ {3} \cdot 401}{5 ^ {2}} = 128\frac{8}{25} = 128.32$$