Evaluate
\frac{70}{3}\approx 23.333333333
Factor
\frac{2 \cdot 5 \cdot 7}{3} = 23\frac{1}{3} = 23.333333333333332
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\begin{array}{l}\phantom{120)}\phantom{1}\\120\overline{)2800}\\\end{array}
Use the 1^{st} digit 2 from dividend 2800
\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)2800}\\\end{array}
Since 2 is less than 120, use the next digit 8 from dividend 2800 and add 0 to the quotient
\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)2800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2800
\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)2800}\\\end{array}
Since 28 is less than 120, use the next digit 0 from dividend 2800 and add 0 to the quotient
\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)2800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2800
\begin{array}{l}\phantom{120)}002\phantom{6}\\120\overline{)2800}\\\phantom{120)}\underline{\phantom{}240\phantom{9}}\\\phantom{120)9}40\\\end{array}
Find closest multiple of 120 to 280. We see that 2 \times 120 = 240 is the nearest. Now subtract 240 from 280 to get reminder 40. Add 2 to quotient.
\begin{array}{l}\phantom{120)}002\phantom{7}\\120\overline{)2800}\\\phantom{120)}\underline{\phantom{}240\phantom{9}}\\\phantom{120)9}400\\\end{array}
Use the 4^{th} digit 0 from dividend 2800
\begin{array}{l}\phantom{120)}0023\phantom{8}\\120\overline{)2800}\\\phantom{120)}\underline{\phantom{}240\phantom{9}}\\\phantom{120)9}400\\\phantom{120)}\underline{\phantom{9}360\phantom{}}\\\phantom{120)99}40\\\end{array}
Find closest multiple of 120 to 400. We see that 3 \times 120 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 3 to quotient.
\text{Quotient: }23 \text{Reminder: }40
Since 40 is less than 120, stop the division. The reminder is 40. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.
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}