Solve 12000/700

$$\frac { 12000 } { 700 }$$

Evaluate

$$\frac{120}{7}\approx 17.142857143$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12000

$$\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)12000}\\\end{array}$$

Since 1 is less than 700, use the next digit 2 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)12000}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12000

$$\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)12000}\\\end{array}$$

Since 12 is less than 700, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)12000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)12000}\\\end{array}$$

Since 120 is less than 700, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}000\phantom{6}\\700\overline{)12000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{700)}000\phantom{7}\\700\overline{)12000}\\\end{array}$$

Find closest multiple of 700 to 1200. We see that 1 \times 700 = 700 is the nearest. Now subtract 700 from 1200 to get reminder 500. Add 1 to quotient.

$$\begin{array}{l}\phantom{700)}0001\phantom{8}\\700\overline{)12000}\\\phantom{700)}\underline{\phantom{9}700\phantom{9}}\\\phantom{700)9}500\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{700)}0001\phantom{9}\\700\overline{)12000}\\\phantom{700)}\underline{\phantom{9}700\phantom{9}}\\\phantom{700)9}5000\\\end{array}$$

Find closest multiple of 700 to 5000. We see that 7 \times 700 = 4900 is the nearest. Now subtract 4900 from 5000 to get reminder 100. Add 7 to quotient.

$$\begin{array}{l}\phantom{700)}00017\phantom{10}\\700\overline{)12000}\\\phantom{700)}\underline{\phantom{9}700\phantom{9}}\\\phantom{700)9}5000\\\phantom{700)}\underline{\phantom{9}4900\phantom{}}\\\phantom{700)99}100\\\end{array}$$

Since 100 is less than 700, stop the division. The reminder is 100. The topmost line 00017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }100$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5}{7} = 17\frac{1}{7} = 17.142857142857142$$