Solve 1200div14

$$1200 \div 14$$

Evaluate

$$\frac{600}{7}\approx 85.714285714$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1200

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)1200}\\\end{array}$$

Since 1 is less than 14, use the next digit 2 from dividend 1200 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)1200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1200

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)1200}\\\end{array}$$

Since 12 is less than 14, use the next digit 0 from dividend 1200 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}00\phantom{4}\\14\overline{)1200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1200

$$\begin{array}{l}\phantom{14)}00\phantom{5}\\14\overline{)1200}\\\end{array}$$

Find closest multiple of 14 to 120. We see that 8 \times 14 = 112 is the nearest. Now subtract 112 from 120 to get reminder 8. Add 8 to quotient.

$$\begin{array}{l}\phantom{14)}008\phantom{6}\\14\overline{)1200}\\\phantom{14)}\underline{\phantom{}112\phantom{9}}\\\phantom{14)99}8\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1200

$$\begin{array}{l}\phantom{14)}008\phantom{7}\\14\overline{)1200}\\\phantom{14)}\underline{\phantom{}112\phantom{9}}\\\phantom{14)99}80\\\end{array}$$

Find closest multiple of 14 to 80. We see that 5 \times 14 = 70 is the nearest. Now subtract 70 from 80 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{14)}0085\phantom{8}\\14\overline{)1200}\\\phantom{14)}\underline{\phantom{}112\phantom{9}}\\\phantom{14)99}80\\\phantom{14)}\underline{\phantom{99}70\phantom{}}\\\phantom{14)99}10\\\end{array}$$

Since 10 is less than 14, stop the division. The reminder is 10. The topmost line 0085 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 85.

$$\text{Quotient: }85 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {2}}{7} = 85\frac{5}{7} = 85.71428571428571$$