Evaluate
\frac{49}{2}=24.5
Factor
\frac{7 ^ {2}}{2} = 24\frac{1}{2} = 24.5
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)1225}\\\end{array}
Use the 1^{st} digit 1 from dividend 1225
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)1225}\\\end{array}
Since 1 is less than 50, use the next digit 2 from dividend 1225 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)1225}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1225
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)1225}\\\end{array}
Since 12 is less than 50, use the next digit 2 from dividend 1225 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)1225}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1225
\begin{array}{l}\phantom{50)}002\phantom{6}\\50\overline{)1225}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}22\\\end{array}
Find closest multiple of 50 to 122. We see that 2 \times 50 = 100 is the nearest. Now subtract 100 from 122 to get reminder 22. Add 2 to quotient.
\begin{array}{l}\phantom{50)}002\phantom{7}\\50\overline{)1225}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}225\\\end{array}
Use the 4^{th} digit 5 from dividend 1225
\begin{array}{l}\phantom{50)}0024\phantom{8}\\50\overline{)1225}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}225\\\phantom{50)}\underline{\phantom{9}200\phantom{}}\\\phantom{50)99}25\\\end{array}
Find closest multiple of 50 to 225. We see that 4 \times 50 = 200 is the nearest. Now subtract 200 from 225 to get reminder 25. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }25
Since 25 is less than 50, stop the division. The reminder is 25. The topmost line 0024 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}