Evaluate
\frac{4975}{6}\approx 829.166666667
Factor
\frac{5 ^ {2} \cdot 199}{2 \cdot 3} = 829\frac{1}{6} = 829.1666666666666
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)19900}\\\end{array}
Use the 1^{st} digit 1 from dividend 19900
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)19900}\\\end{array}
Since 1 is less than 24, use the next digit 9 from dividend 19900 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)19900}\\\end{array}
Use the 2^{nd} digit 9 from dividend 19900
\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)19900}\\\end{array}
Since 19 is less than 24, use the next digit 9 from dividend 19900 and add 0 to the quotient
\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)19900}\\\end{array}
Use the 3^{rd} digit 9 from dividend 19900
\begin{array}{l}\phantom{24)}008\phantom{6}\\24\overline{)19900}\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}7\\\end{array}
Find closest multiple of 24 to 199. We see that 8 \times 24 = 192 is the nearest. Now subtract 192 from 199 to get reminder 7. Add 8 to quotient.
\begin{array}{l}\phantom{24)}008\phantom{7}\\24\overline{)19900}\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}70\\\end{array}
Use the 4^{th} digit 0 from dividend 19900
\begin{array}{l}\phantom{24)}0082\phantom{8}\\24\overline{)19900}\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}70\\\phantom{24)}\underline{\phantom{99}48\phantom{9}}\\\phantom{24)99}22\\\end{array}
Find closest multiple of 24 to 70. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 70 to get reminder 22. Add 2 to quotient.
\begin{array}{l}\phantom{24)}0082\phantom{9}\\24\overline{)19900}\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}70\\\phantom{24)}\underline{\phantom{99}48\phantom{9}}\\\phantom{24)99}220\\\end{array}
Use the 5^{th} digit 0 from dividend 19900
\begin{array}{l}\phantom{24)}00829\phantom{10}\\24\overline{)19900}\\\phantom{24)}\underline{\phantom{}192\phantom{99}}\\\phantom{24)99}70\\\phantom{24)}\underline{\phantom{99}48\phantom{9}}\\\phantom{24)99}220\\\phantom{24)}\underline{\phantom{99}216\phantom{}}\\\phantom{24)9999}4\\\end{array}
Find closest multiple of 24 to 220. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 220 to get reminder 4. Add 9 to quotient.
\text{Quotient: }829 \text{Reminder: }4
Since 4 is less than 24, stop the division. The reminder is 4. The topmost line 00829 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 829.
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}