Solve 975/14

$$\frac { 975 } { 14 }$$

Evaluate

$$\frac{975}{14}\approx 69.642857143$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)975}\\\end{array}$$

Since 9 is less than 14, use the next digit 7 from dividend 975 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)975}\\\end{array}$$

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

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)975}\\\end{array}$$

Find closest multiple of 14 to 97. We see that 6 \times 14 = 84 is the nearest. Now subtract 84 from 97 to get reminder 13. Add 6 to quotient.

$$\begin{array}{l}\phantom{14)}06\phantom{4}\\14\overline{)975}\\\phantom{14)}\underline{\phantom{}84\phantom{9}}\\\phantom{14)}13\\\end{array}$$

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

$$\begin{array}{l}\phantom{14)}06\phantom{5}\\14\overline{)975}\\\phantom{14)}\underline{\phantom{}84\phantom{9}}\\\phantom{14)}135\\\end{array}$$

Find closest multiple of 14 to 135. We see that 9 \times 14 = 126 is the nearest. Now subtract 126 from 135 to get reminder 9. Add 9 to quotient.

$$\begin{array}{l}\phantom{14)}069\phantom{6}\\14\overline{)975}\\\phantom{14)}\underline{\phantom{}84\phantom{9}}\\\phantom{14)}135\\\phantom{14)}\underline{\phantom{}126\phantom{}}\\\phantom{14)99}9\\\end{array}$$

Since 9 is less than 14, stop the division. The reminder is 9. The topmost line 069 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 69.

$$\text{Quotient: }69 \text{Reminder: }9$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 13}{2 \cdot 7} = 69\frac{9}{14} = 69.64285714285714$$