Evaluate
\frac{2800}{13}\approx 215.384615385
Factor
\frac{2 ^ {4} \cdot 5 ^ {2} \cdot 7}{13} = 215\frac{5}{13} = 215.3846153846154
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\begin{array}{l}\phantom{650)}\phantom{1}\\650\overline{)140000}\\\end{array}
Use the 1^{st} digit 1 from dividend 140000
\begin{array}{l}\phantom{650)}0\phantom{2}\\650\overline{)140000}\\\end{array}
Since 1 is less than 650, use the next digit 4 from dividend 140000 and add 0 to the quotient
\begin{array}{l}\phantom{650)}0\phantom{3}\\650\overline{)140000}\\\end{array}
Use the 2^{nd} digit 4 from dividend 140000
\begin{array}{l}\phantom{650)}00\phantom{4}\\650\overline{)140000}\\\end{array}
Since 14 is less than 650, use the next digit 0 from dividend 140000 and add 0 to the quotient
\begin{array}{l}\phantom{650)}00\phantom{5}\\650\overline{)140000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 140000
\begin{array}{l}\phantom{650)}000\phantom{6}\\650\overline{)140000}\\\end{array}
Since 140 is less than 650, use the next digit 0 from dividend 140000 and add 0 to the quotient
\begin{array}{l}\phantom{650)}000\phantom{7}\\650\overline{)140000}\\\end{array}
Use the 4^{th} digit 0 from dividend 140000
\begin{array}{l}\phantom{650)}0002\phantom{8}\\650\overline{)140000}\\\phantom{650)}\underline{\phantom{}1300\phantom{99}}\\\phantom{650)9}100\\\end{array}
Find closest multiple of 650 to 1400. We see that 2 \times 650 = 1300 is the nearest. Now subtract 1300 from 1400 to get reminder 100. Add 2 to quotient.
\begin{array}{l}\phantom{650)}0002\phantom{9}\\650\overline{)140000}\\\phantom{650)}\underline{\phantom{}1300\phantom{99}}\\\phantom{650)9}1000\\\end{array}
Use the 5^{th} digit 0 from dividend 140000
\begin{array}{l}\phantom{650)}00021\phantom{10}\\650\overline{)140000}\\\phantom{650)}\underline{\phantom{}1300\phantom{99}}\\\phantom{650)9}1000\\\phantom{650)}\underline{\phantom{99}650\phantom{9}}\\\phantom{650)99}350\\\end{array}
Find closest multiple of 650 to 1000. We see that 1 \times 650 = 650 is the nearest. Now subtract 650 from 1000 to get reminder 350. Add 1 to quotient.
\begin{array}{l}\phantom{650)}00021\phantom{11}\\650\overline{)140000}\\\phantom{650)}\underline{\phantom{}1300\phantom{99}}\\\phantom{650)9}1000\\\phantom{650)}\underline{\phantom{99}650\phantom{9}}\\\phantom{650)99}3500\\\end{array}
Use the 6^{th} digit 0 from dividend 140000
\begin{array}{l}\phantom{650)}000215\phantom{12}\\650\overline{)140000}\\\phantom{650)}\underline{\phantom{}1300\phantom{99}}\\\phantom{650)9}1000\\\phantom{650)}\underline{\phantom{99}650\phantom{9}}\\\phantom{650)99}3500\\\phantom{650)}\underline{\phantom{99}3250\phantom{}}\\\phantom{650)999}250\\\end{array}
Find closest multiple of 650 to 3500. We see that 5 \times 650 = 3250 is the nearest. Now subtract 3250 from 3500 to get reminder 250. Add 5 to quotient.
\text{Quotient: }215 \text{Reminder: }250
Since 250 is less than 650, stop the division. The reminder is 250. The topmost line 000215 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 215.
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}