Evaluate
\frac{2831}{25}=113.24
Factor
\frac{19 \cdot 149}{5 ^ {2}} = 113\frac{6}{25} = 113.24
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)5662}\\\end{array}
Use the 1^{st} digit 5 from dividend 5662
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)5662}\\\end{array}
Since 5 is less than 50, use the next digit 6 from dividend 5662 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)5662}\\\end{array}
Use the 2^{nd} digit 6 from dividend 5662
\begin{array}{l}\phantom{50)}01\phantom{4}\\50\overline{)5662}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)9}6\\\end{array}
Find closest multiple of 50 to 56. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 56 to get reminder 6. Add 1 to quotient.
\begin{array}{l}\phantom{50)}01\phantom{5}\\50\overline{)5662}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)9}66\\\end{array}
Use the 3^{rd} digit 6 from dividend 5662
\begin{array}{l}\phantom{50)}011\phantom{6}\\50\overline{)5662}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)9}66\\\phantom{50)}\underline{\phantom{9}50\phantom{9}}\\\phantom{50)9}16\\\end{array}
Find closest multiple of 50 to 66. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 66 to get reminder 16. Add 1 to quotient.
\begin{array}{l}\phantom{50)}011\phantom{7}\\50\overline{)5662}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)9}66\\\phantom{50)}\underline{\phantom{9}50\phantom{9}}\\\phantom{50)9}162\\\end{array}
Use the 4^{th} digit 2 from dividend 5662
\begin{array}{l}\phantom{50)}0113\phantom{8}\\50\overline{)5662}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)9}66\\\phantom{50)}\underline{\phantom{9}50\phantom{9}}\\\phantom{50)9}162\\\phantom{50)}\underline{\phantom{9}150\phantom{}}\\\phantom{50)99}12\\\end{array}
Find closest multiple of 50 to 162. We see that 3 \times 50 = 150 is the nearest. Now subtract 150 from 162 to get reminder 12. Add 3 to quotient.
\text{Quotient: }113 \text{Reminder: }12
Since 12 is less than 50, stop the division. The reminder is 12. The topmost line 0113 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 113.
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}