Solve 200000div700

$$200000 \div 700$$

Evaluate

$$\frac{2000}{7}\approx 285.714285714$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 200000

$$\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)200000}\\\end{array}$$

Since 2 is less than 700, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)200000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)200000}\\\end{array}$$

Since 20 is less than 700, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)200000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)200000}\\\end{array}$$

Since 200 is less than 700, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}000\phantom{6}\\700\overline{)200000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{700)}000\phantom{7}\\700\overline{)200000}\\\end{array}$$

Find closest multiple of 700 to 2000. We see that 2 \times 700 = 1400 is the nearest. Now subtract 1400 from 2000 to get reminder 600. Add 2 to quotient.

$$\begin{array}{l}\phantom{700)}0002\phantom{8}\\700\overline{)200000}\\\phantom{700)}\underline{\phantom{}1400\phantom{99}}\\\phantom{700)9}600\\\end{array}$$

Use the 5^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{700)}0002\phantom{9}\\700\overline{)200000}\\\phantom{700)}\underline{\phantom{}1400\phantom{99}}\\\phantom{700)9}6000\\\end{array}$$

Find closest multiple of 700 to 6000. We see that 8 \times 700 = 5600 is the nearest. Now subtract 5600 from 6000 to get reminder 400. Add 8 to quotient.

$$\begin{array}{l}\phantom{700)}00028\phantom{10}\\700\overline{)200000}\\\phantom{700)}\underline{\phantom{}1400\phantom{99}}\\\phantom{700)9}6000\\\phantom{700)}\underline{\phantom{9}5600\phantom{9}}\\\phantom{700)99}400\\\end{array}$$

Use the 6^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{700)}00028\phantom{11}\\700\overline{)200000}\\\phantom{700)}\underline{\phantom{}1400\phantom{99}}\\\phantom{700)9}6000\\\phantom{700)}\underline{\phantom{9}5600\phantom{9}}\\\phantom{700)99}4000\\\end{array}$$

Find closest multiple of 700 to 4000. We see that 5 \times 700 = 3500 is the nearest. Now subtract 3500 from 4000 to get reminder 500. Add 5 to quotient.

$$\begin{array}{l}\phantom{700)}000285\phantom{12}\\700\overline{)200000}\\\phantom{700)}\underline{\phantom{}1400\phantom{99}}\\\phantom{700)9}6000\\\phantom{700)}\underline{\phantom{9}5600\phantom{9}}\\\phantom{700)99}4000\\\phantom{700)}\underline{\phantom{99}3500\phantom{}}\\\phantom{700)999}500\\\end{array}$$

Since 500 is less than 700, stop the division. The reminder is 500. The topmost line 000285 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 285.

$$\text{Quotient: }285 \text{Reminder: }500$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{7} = 285\frac{5}{7} = 285.7142857142857$$