Evaluate
\frac{12478}{25}=499.12
Factor
\frac{2 \cdot 17 \cdot 367}{5 ^ {2}} = 499\frac{3}{25} = 499.12
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)12478}\\\end{array}
Use the 1^{st} digit 1 from dividend 12478
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)12478}\\\end{array}
Since 1 is less than 25, use the next digit 2 from dividend 12478 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)12478}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12478
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)12478}\\\end{array}
Since 12 is less than 25, use the next digit 4 from dividend 12478 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)12478}\\\end{array}
Use the 3^{rd} digit 4 from dividend 12478
\begin{array}{l}\phantom{25)}004\phantom{6}\\25\overline{)12478}\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}24\\\end{array}
Find closest multiple of 25 to 124. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 124 to get reminder 24. Add 4 to quotient.
\begin{array}{l}\phantom{25)}004\phantom{7}\\25\overline{)12478}\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}247\\\end{array}
Use the 4^{th} digit 7 from dividend 12478
\begin{array}{l}\phantom{25)}0049\phantom{8}\\25\overline{)12478}\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}247\\\phantom{25)}\underline{\phantom{9}225\phantom{9}}\\\phantom{25)99}22\\\end{array}
Find closest multiple of 25 to 247. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 247 to get reminder 22. Add 9 to quotient.
\begin{array}{l}\phantom{25)}0049\phantom{9}\\25\overline{)12478}\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}247\\\phantom{25)}\underline{\phantom{9}225\phantom{9}}\\\phantom{25)99}228\\\end{array}
Use the 5^{th} digit 8 from dividend 12478
\begin{array}{l}\phantom{25)}00499\phantom{10}\\25\overline{)12478}\\\phantom{25)}\underline{\phantom{}100\phantom{99}}\\\phantom{25)9}247\\\phantom{25)}\underline{\phantom{9}225\phantom{9}}\\\phantom{25)99}228\\\phantom{25)}\underline{\phantom{99}225\phantom{}}\\\phantom{25)9999}3\\\end{array}
Find closest multiple of 25 to 228. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 228 to get reminder 3. Add 9 to quotient.
\text{Quotient: }499 \text{Reminder: }3
Since 3 is less than 25, stop the division. The reminder is 3. The topmost line 00499 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 499.
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}