Solve 1000/14

$$\frac{ 1000 }{ 14 }$$

Evaluate

$$\frac{500}{7}\approx 71.428571429$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)1000}\\\end{array}$$

Since 1 is less than 14, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)1000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)1000}\\\end{array}$$

Since 10 is less than 14, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}00\phantom{4}\\14\overline{)1000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{14)}00\phantom{5}\\14\overline{)1000}\\\end{array}$$

Find closest multiple of 14 to 100. We see that 7 \times 14 = 98 is the nearest. Now subtract 98 from 100 to get reminder 2. Add 7 to quotient.

$$\begin{array}{l}\phantom{14)}007\phantom{6}\\14\overline{)1000}\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}2\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{14)}007\phantom{7}\\14\overline{)1000}\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}20\\\end{array}$$

Find closest multiple of 14 to 20. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 20 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{14)}0071\phantom{8}\\14\overline{)1000}\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}20\\\phantom{14)}\underline{\phantom{99}14\phantom{}}\\\phantom{14)999}6\\\end{array}$$

Since 6 is less than 14, stop the division. The reminder is 6. The topmost line 0071 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 71.

$$\text{Quotient: }71 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3}}{7} = 71\frac{3}{7} = 71.42857142857143$$