Solve 975/210

$$\frac{ 975 }{ 210 }$$

Evaluate

$$\frac{65}{14}\approx 4.642857143$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 975

$$\begin{array}{l}\phantom{210)}\phantom{1}\\210\overline{)975}\\\end{array}$$

Since 9 is less than 210, use the next digit 7 from dividend 975 and add 0 to the quotient

$$\begin{array}{l}\phantom{210)}0\phantom{2}\\210\overline{)975}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 975

$$\begin{array}{l}\phantom{210)}0\phantom{3}\\210\overline{)975}\\\end{array}$$

Since 97 is less than 210, use the next digit 5 from dividend 975 and add 0 to the quotient

$$\begin{array}{l}\phantom{210)}00\phantom{4}\\210\overline{)975}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 975

$$\begin{array}{l}\phantom{210)}00\phantom{5}\\210\overline{)975}\\\end{array}$$

Find closest multiple of 210 to 975. We see that 4 \times 210 = 840 is the nearest. Now subtract 840 from 975 to get reminder 135. Add 4 to quotient.

$$\begin{array}{l}\phantom{210)}004\phantom{6}\\210\overline{)975}\\\phantom{210)}\underline{\phantom{}840\phantom{}}\\\phantom{210)}135\\\end{array}$$

Since 135 is less than 210, stop the division. The reminder is 135. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }135$$

Factor

$$\frac{5 \cdot 13}{2 \cdot 7} = 4\frac{9}{14} = 4.642857142857143$$