Evaluate
24
Factor
2^{3}\times 3
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\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)528}\\\end{array}
Use the 1^{st} digit 5 from dividend 528
\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)528}\\\end{array}
Since 5 is less than 22, use the next digit 2 from dividend 528 and add 0 to the quotient
\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)528}\\\end{array}
Use the 2^{nd} digit 2 from dividend 528
\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)528}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}8\\\end{array}
Find closest multiple of 22 to 52. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 52 to get reminder 8. Add 2 to quotient.
\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)528}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}88\\\end{array}
Use the 3^{rd} digit 8 from dividend 528
\begin{array}{l}\phantom{22)}024\phantom{6}\\22\overline{)528}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}88\\\phantom{22)}\underline{\phantom{9}88\phantom{}}\\\phantom{22)999}0\\\end{array}
Find closest multiple of 22 to 88. We see that 4 \times 22 = 88 is the nearest. Now subtract 88 from 88 to get reminder 0. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }0
Since 0 is less than 22, stop the division. The reminder is 0. The topmost line 024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}