Evaluate
\frac{3925}{6}\approx 654.166666667
Factor
\frac{5 ^ {2} \cdot 157}{2 \cdot 3} = 654\frac{1}{6} = 654.1666666666666
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)15700}\\\end{array}
Use the 1^{st} digit 1 from dividend 15700
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)15700}\\\end{array}
Since 1 is less than 24, use the next digit 5 from dividend 15700 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)15700}\\\end{array}
Use the 2^{nd} digit 5 from dividend 15700
\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)15700}\\\end{array}
Since 15 is less than 24, use the next digit 7 from dividend 15700 and add 0 to the quotient
\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)15700}\\\end{array}
Use the 3^{rd} digit 7 from dividend 15700
\begin{array}{l}\phantom{24)}006\phantom{6}\\24\overline{)15700}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}13\\\end{array}
Find closest multiple of 24 to 157. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 157 to get reminder 13. Add 6 to quotient.
\begin{array}{l}\phantom{24)}006\phantom{7}\\24\overline{)15700}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}130\\\end{array}
Use the 4^{th} digit 0 from dividend 15700
\begin{array}{l}\phantom{24)}0065\phantom{8}\\24\overline{)15700}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}130\\\phantom{24)}\underline{\phantom{9}120\phantom{9}}\\\phantom{24)99}10\\\end{array}
Find closest multiple of 24 to 130. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 130 to get reminder 10. Add 5 to quotient.
\begin{array}{l}\phantom{24)}0065\phantom{9}\\24\overline{)15700}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}130\\\phantom{24)}\underline{\phantom{9}120\phantom{9}}\\\phantom{24)99}100\\\end{array}
Use the 5^{th} digit 0 from dividend 15700
\begin{array}{l}\phantom{24)}00654\phantom{10}\\24\overline{)15700}\\\phantom{24)}\underline{\phantom{}144\phantom{99}}\\\phantom{24)9}130\\\phantom{24)}\underline{\phantom{9}120\phantom{9}}\\\phantom{24)99}100\\\phantom{24)}\underline{\phantom{999}96\phantom{}}\\\phantom{24)9999}4\\\end{array}
Find closest multiple of 24 to 100. We see that 4 \times 24 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 4 to quotient.
\text{Quotient: }654 \text{Reminder: }4
Since 4 is less than 24, stop the division. The reminder is 4. The topmost line 00654 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 654.
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}