Solve 9312/125

$$\frac { 9312 } { 125 }$$

Evaluate

$$\frac{9312}{125}=74.496$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9312

$$\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)9312}\\\end{array}$$

Since 9 is less than 125, use the next digit 3 from dividend 9312 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)9312}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 9312

$$\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)9312}\\\end{array}$$

Since 93 is less than 125, use the next digit 1 from dividend 9312 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)9312}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 9312

$$\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)9312}\\\end{array}$$

Find closest multiple of 125 to 931. We see that 7 \times 125 = 875 is the nearest. Now subtract 875 from 931 to get reminder 56. Add 7 to quotient.

$$\begin{array}{l}\phantom{125)}007\phantom{6}\\125\overline{)9312}\\\phantom{125)}\underline{\phantom{}875\phantom{9}}\\\phantom{125)9}56\\\end{array}$$

Use the 4^{th} digit 2 from dividend 9312

$$\begin{array}{l}\phantom{125)}007\phantom{7}\\125\overline{)9312}\\\phantom{125)}\underline{\phantom{}875\phantom{9}}\\\phantom{125)9}562\\\end{array}$$

Find closest multiple of 125 to 562. We see that 4 \times 125 = 500 is the nearest. Now subtract 500 from 562 to get reminder 62. Add 4 to quotient.

$$\begin{array}{l}\phantom{125)}0074\phantom{8}\\125\overline{)9312}\\\phantom{125)}\underline{\phantom{}875\phantom{9}}\\\phantom{125)9}562\\\phantom{125)}\underline{\phantom{9}500\phantom{}}\\\phantom{125)99}62\\\end{array}$$

Since 62 is less than 125, stop the division. The reminder is 62. The topmost line 0074 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 74.

$$\text{Quotient: }74 \text{Reminder: }62$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 97}{5 ^ {3}} = 74\frac{62}{125} = 74.496$$