Evaluate
\frac{2999}{24}\approx 124.958333333
Factor
\frac{2999}{2 ^ {3} \cdot 3} = 124\frac{23}{24} = 124.95833333333333
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)2999}\\\end{array}
Use the 1^{st} digit 2 from dividend 2999
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)2999}\\\end{array}
Since 2 is less than 24, use the next digit 9 from dividend 2999 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)2999}\\\end{array}
Use the 2^{nd} digit 9 from dividend 2999
\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)2999}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}5\\\end{array}
Find closest multiple of 24 to 29. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 29 to get reminder 5. Add 1 to quotient.
\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)2999}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}59\\\end{array}
Use the 3^{rd} digit 9 from dividend 2999
\begin{array}{l}\phantom{24)}012\phantom{6}\\24\overline{)2999}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}59\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}11\\\end{array}
Find closest multiple of 24 to 59. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 59 to get reminder 11. Add 2 to quotient.
\begin{array}{l}\phantom{24)}012\phantom{7}\\24\overline{)2999}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}59\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}119\\\end{array}
Use the 4^{th} digit 9 from dividend 2999
\begin{array}{l}\phantom{24)}0124\phantom{8}\\24\overline{)2999}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}59\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)9}119\\\phantom{24)}\underline{\phantom{99}96\phantom{}}\\\phantom{24)99}23\\\end{array}
Find closest multiple of 24 to 119. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 119 to get reminder 23. Add 4 to quotient.
\text{Quotient: }124 \text{Reminder: }23
Since 23 is less than 24, stop the division. The reminder is 23. The topmost line 0124 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 124.
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}