Evaluate
52
Factor
2^{2}\times 13
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1300}\\\end{array}
Use the 1^{st} digit 1 from dividend 1300
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1300}\\\end{array}
Since 1 is less than 25, use the next digit 3 from dividend 1300 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1300}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1300
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1300}\\\end{array}
Since 13 is less than 25, use the next digit 0 from dividend 1300 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1300}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1300
\begin{array}{l}\phantom{25)}005\phantom{6}\\25\overline{)1300}\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)99}5\\\end{array}
Find closest multiple of 25 to 130. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 130 to get reminder 5. Add 5 to quotient.
\begin{array}{l}\phantom{25)}005\phantom{7}\\25\overline{)1300}\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)99}50\\\end{array}
Use the 4^{th} digit 0 from dividend 1300
\begin{array}{l}\phantom{25)}0052\phantom{8}\\25\overline{)1300}\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)99}50\\\phantom{25)}\underline{\phantom{99}50\phantom{}}\\\phantom{25)9999}0\\\end{array}
Find closest multiple of 25 to 50. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 50 to get reminder 0. Add 2 to quotient.
\text{Quotient: }52 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.
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}