Evaluate
52
Factor
2^{2}\times 13
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\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)36400}\\\end{array}
Use the 1^{st} digit 3 from dividend 36400
\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)36400}\\\end{array}
Since 3 is less than 700, use the next digit 6 from dividend 36400 and add 0 to the quotient
\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)36400}\\\end{array}
Use the 2^{nd} digit 6 from dividend 36400
\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)36400}\\\end{array}
Since 36 is less than 700, use the next digit 4 from dividend 36400 and add 0 to the quotient
\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)36400}\\\end{array}
Use the 3^{rd} digit 4 from dividend 36400
\begin{array}{l}\phantom{700)}000\phantom{6}\\700\overline{)36400}\\\end{array}
Since 364 is less than 700, use the next digit 0 from dividend 36400 and add 0 to the quotient
\begin{array}{l}\phantom{700)}000\phantom{7}\\700\overline{)36400}\\\end{array}
Use the 4^{th} digit 0 from dividend 36400
\begin{array}{l}\phantom{700)}0005\phantom{8}\\700\overline{)36400}\\\phantom{700)}\underline{\phantom{}3500\phantom{9}}\\\phantom{700)9}140\\\end{array}
Find closest multiple of 700 to 3640. We see that 5 \times 700 = 3500 is the nearest. Now subtract 3500 from 3640 to get reminder 140. Add 5 to quotient.
\begin{array}{l}\phantom{700)}0005\phantom{9}\\700\overline{)36400}\\\phantom{700)}\underline{\phantom{}3500\phantom{9}}\\\phantom{700)9}1400\\\end{array}
Use the 5^{th} digit 0 from dividend 36400
\begin{array}{l}\phantom{700)}00052\phantom{10}\\700\overline{)36400}\\\phantom{700)}\underline{\phantom{}3500\phantom{9}}\\\phantom{700)9}1400\\\phantom{700)}\underline{\phantom{9}1400\phantom{}}\\\phantom{700)99999}0\\\end{array}
Find closest multiple of 700 to 1400. We see that 2 \times 700 = 1400 is the nearest. Now subtract 1400 from 1400 to get reminder 0. Add 2 to quotient.
\text{Quotient: }52 \text{Reminder: }0
Since 0 is less than 700, stop the division. The reminder is 0. The topmost line 00052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.
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}