Solve 200000/286

$$\frac { 200000 } { 286 }$$

Evaluate

$$\frac{100000}{143}\approx 699.300699301$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{286)}\phantom{1}\\286\overline{)200000}\\\end{array}$$

Since 2 is less than 286, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{286)}0\phantom{2}\\286\overline{)200000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{286)}0\phantom{3}\\286\overline{)200000}\\\end{array}$$

Since 20 is less than 286, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{286)}00\phantom{4}\\286\overline{)200000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{286)}00\phantom{5}\\286\overline{)200000}\\\end{array}$$

Since 200 is less than 286, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{286)}000\phantom{6}\\286\overline{)200000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{286)}000\phantom{7}\\286\overline{)200000}\\\end{array}$$

Find closest multiple of 286 to 2000. We see that 6 \times 286 = 1716 is the nearest. Now subtract 1716 from 2000 to get reminder 284. Add 6 to quotient.

$$\begin{array}{l}\phantom{286)}0006\phantom{8}\\286\overline{)200000}\\\phantom{286)}\underline{\phantom{}1716\phantom{99}}\\\phantom{286)9}284\\\end{array}$$

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

$$\begin{array}{l}\phantom{286)}0006\phantom{9}\\286\overline{)200000}\\\phantom{286)}\underline{\phantom{}1716\phantom{99}}\\\phantom{286)9}2840\\\end{array}$$

Find closest multiple of 286 to 2840. We see that 9 \times 286 = 2574 is the nearest. Now subtract 2574 from 2840 to get reminder 266. Add 9 to quotient.

$$\begin{array}{l}\phantom{286)}00069\phantom{10}\\286\overline{)200000}\\\phantom{286)}\underline{\phantom{}1716\phantom{99}}\\\phantom{286)9}2840\\\phantom{286)}\underline{\phantom{9}2574\phantom{9}}\\\phantom{286)99}266\\\end{array}$$

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

$$\begin{array}{l}\phantom{286)}00069\phantom{11}\\286\overline{)200000}\\\phantom{286)}\underline{\phantom{}1716\phantom{99}}\\\phantom{286)9}2840\\\phantom{286)}\underline{\phantom{9}2574\phantom{9}}\\\phantom{286)99}2660\\\end{array}$$

Find closest multiple of 286 to 2660. We see that 9 \times 286 = 2574 is the nearest. Now subtract 2574 from 2660 to get reminder 86. Add 9 to quotient.

$$\begin{array}{l}\phantom{286)}000699\phantom{12}\\286\overline{)200000}\\\phantom{286)}\underline{\phantom{}1716\phantom{99}}\\\phantom{286)9}2840\\\phantom{286)}\underline{\phantom{9}2574\phantom{9}}\\\phantom{286)99}2660\\\phantom{286)}\underline{\phantom{99}2574\phantom{}}\\\phantom{286)9999}86\\\end{array}$$

Since 86 is less than 286, stop the division. The reminder is 86. The topmost line 000699 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 699.

$$\text{Quotient: }699 \text{Reminder: }86$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {5}}{11 \cdot 13} = 699\frac{43}{143} = 699.3006993006993$$