Evaluate
24
Factor
2^{3}\times 3
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\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)1392}\\\end{array}
Use the 1^{st} digit 1 from dividend 1392
\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)1392}\\\end{array}
Since 1 is less than 58, use the next digit 3 from dividend 1392 and add 0 to the quotient
\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)1392}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1392
\begin{array}{l}\phantom{58)}00\phantom{4}\\58\overline{)1392}\\\end{array}
Since 13 is less than 58, use the next digit 9 from dividend 1392 and add 0 to the quotient
\begin{array}{l}\phantom{58)}00\phantom{5}\\58\overline{)1392}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1392
\begin{array}{l}\phantom{58)}002\phantom{6}\\58\overline{)1392}\\\phantom{58)}\underline{\phantom{}116\phantom{9}}\\\phantom{58)9}23\\\end{array}
Find closest multiple of 58 to 139. We see that 2 \times 58 = 116 is the nearest. Now subtract 116 from 139 to get reminder 23. Add 2 to quotient.
\begin{array}{l}\phantom{58)}002\phantom{7}\\58\overline{)1392}\\\phantom{58)}\underline{\phantom{}116\phantom{9}}\\\phantom{58)9}232\\\end{array}
Use the 4^{th} digit 2 from dividend 1392
\begin{array}{l}\phantom{58)}0024\phantom{8}\\58\overline{)1392}\\\phantom{58)}\underline{\phantom{}116\phantom{9}}\\\phantom{58)9}232\\\phantom{58)}\underline{\phantom{9}232\phantom{}}\\\phantom{58)9999}0\\\end{array}
Find closest multiple of 58 to 232. We see that 4 \times 58 = 232 is the nearest. Now subtract 232 from 232 to get reminder 0. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }0
Since 0 is less than 58, stop the division. The reminder is 0. 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}