Evaluate
9
Factor
3^{2}
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\begin{array}{l}\phantom{528)}\phantom{1}\\528\overline{)4752}\\\end{array}
Use the 1^{st} digit 4 from dividend 4752
\begin{array}{l}\phantom{528)}0\phantom{2}\\528\overline{)4752}\\\end{array}
Since 4 is less than 528, use the next digit 7 from dividend 4752 and add 0 to the quotient
\begin{array}{l}\phantom{528)}0\phantom{3}\\528\overline{)4752}\\\end{array}
Use the 2^{nd} digit 7 from dividend 4752
\begin{array}{l}\phantom{528)}00\phantom{4}\\528\overline{)4752}\\\end{array}
Since 47 is less than 528, use the next digit 5 from dividend 4752 and add 0 to the quotient
\begin{array}{l}\phantom{528)}00\phantom{5}\\528\overline{)4752}\\\end{array}
Use the 3^{rd} digit 5 from dividend 4752
\begin{array}{l}\phantom{528)}000\phantom{6}\\528\overline{)4752}\\\end{array}
Since 475 is less than 528, use the next digit 2 from dividend 4752 and add 0 to the quotient
\begin{array}{l}\phantom{528)}000\phantom{7}\\528\overline{)4752}\\\end{array}
Use the 4^{th} digit 2 from dividend 4752
\begin{array}{l}\phantom{528)}0009\phantom{8}\\528\overline{)4752}\\\phantom{528)}\underline{\phantom{}4752\phantom{}}\\\phantom{528)9999}0\\\end{array}
Find closest multiple of 528 to 4752. We see that 9 \times 528 = 4752 is the nearest. Now subtract 4752 from 4752 to get reminder 0. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }0
Since 0 is less than 528, stop the division. The reminder is 0. The topmost line 0009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}