Evaluate
44
Factor
2^{2}\times 11
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)1232}\\\end{array}
Use the 1^{st} digit 1 from dividend 1232
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)1232}\\\end{array}
Since 1 is less than 28, use the next digit 2 from dividend 1232 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)1232}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1232
\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)1232}\\\end{array}
Since 12 is less than 28, use the next digit 3 from dividend 1232 and add 0 to the quotient
\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)1232}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1232
\begin{array}{l}\phantom{28)}004\phantom{6}\\28\overline{)1232}\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)9}11\\\end{array}
Find closest multiple of 28 to 123. We see that 4 \times 28 = 112 is the nearest. Now subtract 112 from 123 to get reminder 11. Add 4 to quotient.
\begin{array}{l}\phantom{28)}004\phantom{7}\\28\overline{)1232}\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)9}112\\\end{array}
Use the 4^{th} digit 2 from dividend 1232
\begin{array}{l}\phantom{28)}0044\phantom{8}\\28\overline{)1232}\\\phantom{28)}\underline{\phantom{}112\phantom{9}}\\\phantom{28)9}112\\\phantom{28)}\underline{\phantom{9}112\phantom{}}\\\phantom{28)9999}0\\\end{array}
Find closest multiple of 28 to 112. We see that 4 \times 28 = 112 is the nearest. Now subtract 112 from 112 to get reminder 0. Add 4 to quotient.
\text{Quotient: }44 \text{Reminder: }0
Since 0 is less than 28, stop the division. The reminder is 0. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.
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}