Evaluate
\frac{87457}{3785}\approx 23.106208719
Factor
\frac{19 \cdot 4603}{5 \cdot 757} = 23\frac{402}{3785} = 23.106208718626156
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\begin{array}{l}\phantom{3785)}\phantom{1}\\3785\overline{)87457}\\\end{array}
Use the 1^{st} digit 8 from dividend 87457
\begin{array}{l}\phantom{3785)}0\phantom{2}\\3785\overline{)87457}\\\end{array}
Since 8 is less than 3785, use the next digit 7 from dividend 87457 and add 0 to the quotient
\begin{array}{l}\phantom{3785)}0\phantom{3}\\3785\overline{)87457}\\\end{array}
Use the 2^{nd} digit 7 from dividend 87457
\begin{array}{l}\phantom{3785)}00\phantom{4}\\3785\overline{)87457}\\\end{array}
Since 87 is less than 3785, use the next digit 4 from dividend 87457 and add 0 to the quotient
\begin{array}{l}\phantom{3785)}00\phantom{5}\\3785\overline{)87457}\\\end{array}
Use the 3^{rd} digit 4 from dividend 87457
\begin{array}{l}\phantom{3785)}000\phantom{6}\\3785\overline{)87457}\\\end{array}
Since 874 is less than 3785, use the next digit 5 from dividend 87457 and add 0 to the quotient
\begin{array}{l}\phantom{3785)}000\phantom{7}\\3785\overline{)87457}\\\end{array}
Use the 4^{th} digit 5 from dividend 87457
\begin{array}{l}\phantom{3785)}0002\phantom{8}\\3785\overline{)87457}\\\phantom{3785)}\underline{\phantom{}7570\phantom{9}}\\\phantom{3785)}1175\\\end{array}
Find closest multiple of 3785 to 8745. We see that 2 \times 3785 = 7570 is the nearest. Now subtract 7570 from 8745 to get reminder 1175. Add 2 to quotient.
\begin{array}{l}\phantom{3785)}0002\phantom{9}\\3785\overline{)87457}\\\phantom{3785)}\underline{\phantom{}7570\phantom{9}}\\\phantom{3785)}11757\\\end{array}
Use the 5^{th} digit 7 from dividend 87457
\begin{array}{l}\phantom{3785)}00023\phantom{10}\\3785\overline{)87457}\\\phantom{3785)}\underline{\phantom{}7570\phantom{9}}\\\phantom{3785)}11757\\\phantom{3785)}\underline{\phantom{}11355\phantom{}}\\\phantom{3785)99}402\\\end{array}
Find closest multiple of 3785 to 11757. We see that 3 \times 3785 = 11355 is the nearest. Now subtract 11355 from 11757 to get reminder 402. Add 3 to quotient.
\text{Quotient: }23 \text{Reminder: }402
Since 402 is less than 3785, stop the division. The reminder is 402. The topmost line 00023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.
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}