Evaluate
\frac{21599}{58}\approx 372.396551724
Factor
\frac{21599}{2 \cdot 29} = 372\frac{23}{58} = 372.3965517241379
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\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)21599}\\\end{array}
Use the 1^{st} digit 2 from dividend 21599
\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)21599}\\\end{array}
Since 2 is less than 58, use the next digit 1 from dividend 21599 and add 0 to the quotient
\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)21599}\\\end{array}
Use the 2^{nd} digit 1 from dividend 21599
\begin{array}{l}\phantom{58)}00\phantom{4}\\58\overline{)21599}\\\end{array}
Since 21 is less than 58, use the next digit 5 from dividend 21599 and add 0 to the quotient
\begin{array}{l}\phantom{58)}00\phantom{5}\\58\overline{)21599}\\\end{array}
Use the 3^{rd} digit 5 from dividend 21599
\begin{array}{l}\phantom{58)}003\phantom{6}\\58\overline{)21599}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}41\\\end{array}
Find closest multiple of 58 to 215. We see that 3 \times 58 = 174 is the nearest. Now subtract 174 from 215 to get reminder 41. Add 3 to quotient.
\begin{array}{l}\phantom{58)}003\phantom{7}\\58\overline{)21599}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}419\\\end{array}
Use the 4^{th} digit 9 from dividend 21599
\begin{array}{l}\phantom{58)}0037\phantom{8}\\58\overline{)21599}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}419\\\phantom{58)}\underline{\phantom{9}406\phantom{9}}\\\phantom{58)99}13\\\end{array}
Find closest multiple of 58 to 419. We see that 7 \times 58 = 406 is the nearest. Now subtract 406 from 419 to get reminder 13. Add 7 to quotient.
\begin{array}{l}\phantom{58)}0037\phantom{9}\\58\overline{)21599}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}419\\\phantom{58)}\underline{\phantom{9}406\phantom{9}}\\\phantom{58)99}139\\\end{array}
Use the 5^{th} digit 9 from dividend 21599
\begin{array}{l}\phantom{58)}00372\phantom{10}\\58\overline{)21599}\\\phantom{58)}\underline{\phantom{}174\phantom{99}}\\\phantom{58)9}419\\\phantom{58)}\underline{\phantom{9}406\phantom{9}}\\\phantom{58)99}139\\\phantom{58)}\underline{\phantom{99}116\phantom{}}\\\phantom{58)999}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.
\text{Quotient: }372 \text{Reminder: }23
Since 23 is less than 58, stop the division. The reminder is 23. The topmost line 00372 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 372.
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}