Evaluate
572
Factor
2^{2}\times 11\times 13
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)14300}\\\end{array}
Use the 1^{st} digit 1 from dividend 14300
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)14300}\\\end{array}
Since 1 is less than 25, use the next digit 4 from dividend 14300 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)14300}\\\end{array}
Use the 2^{nd} digit 4 from dividend 14300
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)14300}\\\end{array}
Since 14 is less than 25, use the next digit 3 from dividend 14300 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)14300}\\\end{array}
Use the 3^{rd} digit 3 from dividend 14300
\begin{array}{l}\phantom{25)}005\phantom{6}\\25\overline{)14300}\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)9}18\\\end{array}
Find closest multiple of 25 to 143. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 143 to get reminder 18. Add 5 to quotient.
\begin{array}{l}\phantom{25)}005\phantom{7}\\25\overline{)14300}\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)9}180\\\end{array}
Use the 4^{th} digit 0 from dividend 14300
\begin{array}{l}\phantom{25)}0057\phantom{8}\\25\overline{)14300}\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)9}180\\\phantom{25)}\underline{\phantom{9}175\phantom{9}}\\\phantom{25)999}5\\\end{array}
Find closest multiple of 25 to 180. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 180 to get reminder 5. Add 7 to quotient.
\begin{array}{l}\phantom{25)}0057\phantom{9}\\25\overline{)14300}\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)9}180\\\phantom{25)}\underline{\phantom{9}175\phantom{9}}\\\phantom{25)999}50\\\end{array}
Use the 5^{th} digit 0 from dividend 14300
\begin{array}{l}\phantom{25)}00572\phantom{10}\\25\overline{)14300}\\\phantom{25)}\underline{\phantom{}125\phantom{99}}\\\phantom{25)9}180\\\phantom{25)}\underline{\phantom{9}175\phantom{9}}\\\phantom{25)999}50\\\phantom{25)}\underline{\phantom{999}50\phantom{}}\\\phantom{25)99999}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: }572 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 00572 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 572.
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}