Evaluate
\frac{570}{23}\approx 24.782608696
Factor
\frac{2 \cdot 3 \cdot 5 \cdot 19}{23} = 24\frac{18}{23} = 24.782608695652176
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\begin{array}{l}\phantom{115)}\phantom{1}\\115\overline{)2850}\\\end{array}
Use the 1^{st} digit 2 from dividend 2850
\begin{array}{l}\phantom{115)}0\phantom{2}\\115\overline{)2850}\\\end{array}
Since 2 is less than 115, use the next digit 8 from dividend 2850 and add 0 to the quotient
\begin{array}{l}\phantom{115)}0\phantom{3}\\115\overline{)2850}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2850
\begin{array}{l}\phantom{115)}00\phantom{4}\\115\overline{)2850}\\\end{array}
Since 28 is less than 115, use the next digit 5 from dividend 2850 and add 0 to the quotient
\begin{array}{l}\phantom{115)}00\phantom{5}\\115\overline{)2850}\\\end{array}
Use the 3^{rd} digit 5 from dividend 2850
\begin{array}{l}\phantom{115)}002\phantom{6}\\115\overline{)2850}\\\phantom{115)}\underline{\phantom{}230\phantom{9}}\\\phantom{115)9}55\\\end{array}
Find closest multiple of 115 to 285. We see that 2 \times 115 = 230 is the nearest. Now subtract 230 from 285 to get reminder 55. Add 2 to quotient.
\begin{array}{l}\phantom{115)}002\phantom{7}\\115\overline{)2850}\\\phantom{115)}\underline{\phantom{}230\phantom{9}}\\\phantom{115)9}550\\\end{array}
Use the 4^{th} digit 0 from dividend 2850
\begin{array}{l}\phantom{115)}0024\phantom{8}\\115\overline{)2850}\\\phantom{115)}\underline{\phantom{}230\phantom{9}}\\\phantom{115)9}550\\\phantom{115)}\underline{\phantom{9}460\phantom{}}\\\phantom{115)99}90\\\end{array}
Find closest multiple of 115 to 550. We see that 4 \times 115 = 460 is the nearest. Now subtract 460 from 550 to get reminder 90. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }90
Since 90 is less than 115, stop the division. The reminder is 90. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}