Evaluate
22
Factor
2\times 11
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\begin{array}{l}\phantom{2324)}\phantom{1}\\2324\overline{)51128}\\\end{array}
Use the 1^{st} digit 5 from dividend 51128
\begin{array}{l}\phantom{2324)}0\phantom{2}\\2324\overline{)51128}\\\end{array}
Since 5 is less than 2324, use the next digit 1 from dividend 51128 and add 0 to the quotient
\begin{array}{l}\phantom{2324)}0\phantom{3}\\2324\overline{)51128}\\\end{array}
Use the 2^{nd} digit 1 from dividend 51128
\begin{array}{l}\phantom{2324)}00\phantom{4}\\2324\overline{)51128}\\\end{array}
Since 51 is less than 2324, use the next digit 1 from dividend 51128 and add 0 to the quotient
\begin{array}{l}\phantom{2324)}00\phantom{5}\\2324\overline{)51128}\\\end{array}
Use the 3^{rd} digit 1 from dividend 51128
\begin{array}{l}\phantom{2324)}000\phantom{6}\\2324\overline{)51128}\\\end{array}
Since 511 is less than 2324, use the next digit 2 from dividend 51128 and add 0 to the quotient
\begin{array}{l}\phantom{2324)}000\phantom{7}\\2324\overline{)51128}\\\end{array}
Use the 4^{th} digit 2 from dividend 51128
\begin{array}{l}\phantom{2324)}0002\phantom{8}\\2324\overline{)51128}\\\phantom{2324)}\underline{\phantom{}4648\phantom{9}}\\\phantom{2324)9}464\\\end{array}
Find closest multiple of 2324 to 5112. We see that 2 \times 2324 = 4648 is the nearest. Now subtract 4648 from 5112 to get reminder 464. Add 2 to quotient.
\begin{array}{l}\phantom{2324)}0002\phantom{9}\\2324\overline{)51128}\\\phantom{2324)}\underline{\phantom{}4648\phantom{9}}\\\phantom{2324)9}4648\\\end{array}
Use the 5^{th} digit 8 from dividend 51128
\begin{array}{l}\phantom{2324)}00022\phantom{10}\\2324\overline{)51128}\\\phantom{2324)}\underline{\phantom{}4648\phantom{9}}\\\phantom{2324)9}4648\\\phantom{2324)}\underline{\phantom{9}4648\phantom{}}\\\phantom{2324)99999}0\\\end{array}
Find closest multiple of 2324 to 4648. We see that 2 \times 2324 = 4648 is the nearest. Now subtract 4648 from 4648 to get reminder 0. Add 2 to quotient.
\text{Quotient: }22 \text{Reminder: }0
Since 0 is less than 2324, stop the division. The reminder is 0. The topmost line 00022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.
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}