Solve 9702/250

$$\frac { 9702 } { 250 }$$

Evaluate

$$\frac{4851}{125}=38.808$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9702

$$\begin{array}{l}\phantom{250)}\phantom{1}\\250\overline{)9702}\\\end{array}$$

Since 9 is less than 250, use the next digit 7 from dividend 9702 and add 0 to the quotient

$$\begin{array}{l}\phantom{250)}0\phantom{2}\\250\overline{)9702}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 9702

$$\begin{array}{l}\phantom{250)}0\phantom{3}\\250\overline{)9702}\\\end{array}$$

Since 97 is less than 250, use the next digit 0 from dividend 9702 and add 0 to the quotient

$$\begin{array}{l}\phantom{250)}00\phantom{4}\\250\overline{)9702}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 9702

$$\begin{array}{l}\phantom{250)}00\phantom{5}\\250\overline{)9702}\\\end{array}$$

Find closest multiple of 250 to 970. We see that 3 \times 250 = 750 is the nearest. Now subtract 750 from 970 to get reminder 220. Add 3 to quotient.

$$\begin{array}{l}\phantom{250)}003\phantom{6}\\250\overline{)9702}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)}220\\\end{array}$$

Use the 4^{th} digit 2 from dividend 9702

$$\begin{array}{l}\phantom{250)}003\phantom{7}\\250\overline{)9702}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)}2202\\\end{array}$$

Find closest multiple of 250 to 2202. We see that 8 \times 250 = 2000 is the nearest. Now subtract 2000 from 2202 to get reminder 202. Add 8 to quotient.

$$\begin{array}{l}\phantom{250)}0038\phantom{8}\\250\overline{)9702}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)}2202\\\phantom{250)}\underline{\phantom{}2000\phantom{}}\\\phantom{250)9}202\\\end{array}$$

Since 202 is less than 250, stop the division. The reminder is 202. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.

$$\text{Quotient: }38 \text{Reminder: }202$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {2} \cdot 11}{5 ^ {3}} = 38\frac{101}{125} = 38.808$$