Evaluate
\frac{100}{89}\approx 1.123595506
Factor
\frac{2 ^ {2} \cdot 5 ^ {2}}{89} = 1\frac{11}{89} = 1.1235955056179776
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\begin{array}{l}\phantom{356)}\phantom{1}\\356\overline{)400}\\\end{array}
Use the 1^{st} digit 4 from dividend 400
\begin{array}{l}\phantom{356)}0\phantom{2}\\356\overline{)400}\\\end{array}
Since 4 is less than 356, use the next digit 0 from dividend 400 and add 0 to the quotient
\begin{array}{l}\phantom{356)}0\phantom{3}\\356\overline{)400}\\\end{array}
Use the 2^{nd} digit 0 from dividend 400
\begin{array}{l}\phantom{356)}00\phantom{4}\\356\overline{)400}\\\end{array}
Since 40 is less than 356, use the next digit 0 from dividend 400 and add 0 to the quotient
\begin{array}{l}\phantom{356)}00\phantom{5}\\356\overline{)400}\\\end{array}
Use the 3^{rd} digit 0 from dividend 400
\begin{array}{l}\phantom{356)}001\phantom{6}\\356\overline{)400}\\\phantom{356)}\underline{\phantom{}356\phantom{}}\\\phantom{356)9}44\\\end{array}
Find closest multiple of 356 to 400. We see that 1 \times 356 = 356 is the nearest. Now subtract 356 from 400 to get reminder 44. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }44
Since 44 is less than 356, stop the division. The reminder is 44. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}