Evaluate
\frac{2000}{7}\approx 285.714285714
Factor
\frac{2 ^ {4} \cdot 5 ^ {3}}{7} = 285\frac{5}{7} = 285.7142857142857
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\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)20000}\\\end{array}
Use the 1^{st} digit 2 from dividend 20000
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)20000}\\\end{array}
Since 2 is less than 70, use the next digit 0 from dividend 20000 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)20000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 20000
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)20000}\\\end{array}
Since 20 is less than 70, use the next digit 0 from dividend 20000 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)20000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 20000
\begin{array}{l}\phantom{70)}002\phantom{6}\\70\overline{)20000}\\\phantom{70)}\underline{\phantom{}140\phantom{99}}\\\phantom{70)9}60\\\end{array}
Find closest multiple of 70 to 200. We see that 2 \times 70 = 140 is the nearest. Now subtract 140 from 200 to get reminder 60. Add 2 to quotient.
\begin{array}{l}\phantom{70)}002\phantom{7}\\70\overline{)20000}\\\phantom{70)}\underline{\phantom{}140\phantom{99}}\\\phantom{70)9}600\\\end{array}
Use the 4^{th} digit 0 from dividend 20000
\begin{array}{l}\phantom{70)}0028\phantom{8}\\70\overline{)20000}\\\phantom{70)}\underline{\phantom{}140\phantom{99}}\\\phantom{70)9}600\\\phantom{70)}\underline{\phantom{9}560\phantom{9}}\\\phantom{70)99}40\\\end{array}
Find closest multiple of 70 to 600. We see that 8 \times 70 = 560 is the nearest. Now subtract 560 from 600 to get reminder 40. Add 8 to quotient.
\begin{array}{l}\phantom{70)}0028\phantom{9}\\70\overline{)20000}\\\phantom{70)}\underline{\phantom{}140\phantom{99}}\\\phantom{70)9}600\\\phantom{70)}\underline{\phantom{9}560\phantom{9}}\\\phantom{70)99}400\\\end{array}
Use the 5^{th} digit 0 from dividend 20000
\begin{array}{l}\phantom{70)}00285\phantom{10}\\70\overline{)20000}\\\phantom{70)}\underline{\phantom{}140\phantom{99}}\\\phantom{70)9}600\\\phantom{70)}\underline{\phantom{9}560\phantom{9}}\\\phantom{70)99}400\\\phantom{70)}\underline{\phantom{99}350\phantom{}}\\\phantom{70)999}50\\\end{array}
Find closest multiple of 70 to 400. We see that 5 \times 70 = 350 is the nearest. Now subtract 350 from 400 to get reminder 50. Add 5 to quotient.
\text{Quotient: }285 \text{Reminder: }50
Since 50 is less than 70, stop the division. The reminder is 50. The topmost line 00285 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 285.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}