Evaluate
\frac{880}{201}\approx 4.378109453
Factor
\frac{2 ^ {4} \cdot 5 \cdot 11}{3 \cdot 67} = 4\frac{76}{201} = 4.378109452736318
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\begin{array}{l}\phantom{201)}\phantom{1}\\201\overline{)880}\\\end{array}
Use the 1^{st} digit 8 from dividend 880
\begin{array}{l}\phantom{201)}0\phantom{2}\\201\overline{)880}\\\end{array}
Since 8 is less than 201, use the next digit 8 from dividend 880 and add 0 to the quotient
\begin{array}{l}\phantom{201)}0\phantom{3}\\201\overline{)880}\\\end{array}
Use the 2^{nd} digit 8 from dividend 880
\begin{array}{l}\phantom{201)}00\phantom{4}\\201\overline{)880}\\\end{array}
Since 88 is less than 201, use the next digit 0 from dividend 880 and add 0 to the quotient
\begin{array}{l}\phantom{201)}00\phantom{5}\\201\overline{)880}\\\end{array}
Use the 3^{rd} digit 0 from dividend 880
\begin{array}{l}\phantom{201)}004\phantom{6}\\201\overline{)880}\\\phantom{201)}\underline{\phantom{}804\phantom{}}\\\phantom{201)9}76\\\end{array}
Find closest multiple of 201 to 880. We see that 4 \times 201 = 804 is the nearest. Now subtract 804 from 880 to get reminder 76. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }76
Since 76 is less than 201, stop the division. The reminder is 76. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}