Evaluate
589
Factor
19\times 31
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)14136}\\\end{array}
Use the 1^{st} digit 1 from dividend 14136
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)14136}\\\end{array}
Since 1 is less than 24, use the next digit 4 from dividend 14136 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)14136}\\\end{array}
Use the 2^{nd} digit 4 from dividend 14136
\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)14136}\\\end{array}
Since 14 is less than 24, use the next digit 1 from dividend 14136 and add 0 to the quotient
\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)14136}\\\end{array}
Use the 3^{rd} digit 1 from dividend 14136
\begin{array}{l}\phantom{24)}005\phantom{6}\\24\overline{)14136}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}21\\\end{array}
Find closest multiple of 24 to 141. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 141 to get reminder 21. Add 5 to quotient.
\begin{array}{l}\phantom{24)}005\phantom{7}\\24\overline{)14136}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}213\\\end{array}
Use the 4^{th} digit 3 from dividend 14136
\begin{array}{l}\phantom{24)}0058\phantom{8}\\24\overline{)14136}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}213\\\phantom{24)}\underline{\phantom{9}192\phantom{9}}\\\phantom{24)99}21\\\end{array}
Find closest multiple of 24 to 213. We see that 8 \times 24 = 192 is the nearest. Now subtract 192 from 213 to get reminder 21. Add 8 to quotient.
\begin{array}{l}\phantom{24)}0058\phantom{9}\\24\overline{)14136}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}213\\\phantom{24)}\underline{\phantom{9}192\phantom{9}}\\\phantom{24)99}216\\\end{array}
Use the 5^{th} digit 6 from dividend 14136
\begin{array}{l}\phantom{24)}00589\phantom{10}\\24\overline{)14136}\\\phantom{24)}\underline{\phantom{}120\phantom{99}}\\\phantom{24)9}213\\\phantom{24)}\underline{\phantom{9}192\phantom{9}}\\\phantom{24)99}216\\\phantom{24)}\underline{\phantom{99}216\phantom{}}\\\phantom{24)99999}0\\\end{array}
Find closest multiple of 24 to 216. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 216 to get reminder 0. Add 9 to quotient.
\text{Quotient: }589 \text{Reminder: }0
Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 00589 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 589.
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}