Solve 328/125

$$\frac { 328 } { 125 }$$

Evaluate

$$\frac{328}{125}=2.624$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 328

$$\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)328}\\\end{array}$$

Since 3 is less than 125, use the next digit 2 from dividend 328 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)328}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 328

$$\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)328}\\\end{array}$$

Since 32 is less than 125, use the next digit 8 from dividend 328 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)328}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 328

$$\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)328}\\\end{array}$$

Find closest multiple of 125 to 328. We see that 2 \times 125 = 250 is the nearest. Now subtract 250 from 328 to get reminder 78. Add 2 to quotient.

$$\begin{array}{l}\phantom{125)}002\phantom{6}\\125\overline{)328}\\\phantom{125)}\underline{\phantom{}250\phantom{}}\\\phantom{125)9}78\\\end{array}$$

Since 78 is less than 125, stop the division. The reminder is 78. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }78$$

Factor

$$\frac{2 ^ {3} \cdot 41}{5 ^ {3}} = 2\frac{78}{125} = 2.624$$