Evaluate
244
Factor
2^{2}\times 61
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\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)8052}\\\end{array}
Use the 1^{st} digit 8 from dividend 8052
\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)8052}\\\end{array}
Since 8 is less than 33, use the next digit 0 from dividend 8052 and add 0 to the quotient
\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)8052}\\\end{array}
Use the 2^{nd} digit 0 from dividend 8052
\begin{array}{l}\phantom{33)}02\phantom{4}\\33\overline{)8052}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}14\\\end{array}
Find closest multiple of 33 to 80. We see that 2 \times 33 = 66 is the nearest. Now subtract 66 from 80 to get reminder 14. Add 2 to quotient.
\begin{array}{l}\phantom{33)}02\phantom{5}\\33\overline{)8052}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}145\\\end{array}
Use the 3^{rd} digit 5 from dividend 8052
\begin{array}{l}\phantom{33)}024\phantom{6}\\33\overline{)8052}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}145\\\phantom{33)}\underline{\phantom{}132\phantom{9}}\\\phantom{33)9}13\\\end{array}
Find closest multiple of 33 to 145. We see that 4 \times 33 = 132 is the nearest. Now subtract 132 from 145 to get reminder 13. Add 4 to quotient.
\begin{array}{l}\phantom{33)}024\phantom{7}\\33\overline{)8052}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}145\\\phantom{33)}\underline{\phantom{}132\phantom{9}}\\\phantom{33)9}132\\\end{array}
Use the 4^{th} digit 2 from dividend 8052
\begin{array}{l}\phantom{33)}0244\phantom{8}\\33\overline{)8052}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}145\\\phantom{33)}\underline{\phantom{}132\phantom{9}}\\\phantom{33)9}132\\\phantom{33)}\underline{\phantom{9}132\phantom{}}\\\phantom{33)9999}0\\\end{array}
Find closest multiple of 33 to 132. We see that 4 \times 33 = 132 is the nearest. Now subtract 132 from 132 to get reminder 0. Add 4 to quotient.
\text{Quotient: }244 \text{Reminder: }0
Since 0 is less than 33, stop the division. The reminder is 0. The topmost line 0244 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 244.
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}