Evaluate
\frac{950}{63}\approx 15.079365079
Factor
\frac{2 \cdot 5 ^ {2} \cdot 19}{3 ^ {2} \cdot 7} = 15\frac{5}{63} = 15.079365079365079
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\begin{array}{l}\phantom{252)}\phantom{1}\\252\overline{)3800}\\\end{array}
Use the 1^{st} digit 3 from dividend 3800
\begin{array}{l}\phantom{252)}0\phantom{2}\\252\overline{)3800}\\\end{array}
Since 3 is less than 252, use the next digit 8 from dividend 3800 and add 0 to the quotient
\begin{array}{l}\phantom{252)}0\phantom{3}\\252\overline{)3800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 3800
\begin{array}{l}\phantom{252)}00\phantom{4}\\252\overline{)3800}\\\end{array}
Since 38 is less than 252, use the next digit 0 from dividend 3800 and add 0 to the quotient
\begin{array}{l}\phantom{252)}00\phantom{5}\\252\overline{)3800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3800
\begin{array}{l}\phantom{252)}001\phantom{6}\\252\overline{)3800}\\\phantom{252)}\underline{\phantom{}252\phantom{9}}\\\phantom{252)}128\\\end{array}
Find closest multiple of 252 to 380. We see that 1 \times 252 = 252 is the nearest. Now subtract 252 from 380 to get reminder 128. Add 1 to quotient.
\begin{array}{l}\phantom{252)}001\phantom{7}\\252\overline{)3800}\\\phantom{252)}\underline{\phantom{}252\phantom{9}}\\\phantom{252)}1280\\\end{array}
Use the 4^{th} digit 0 from dividend 3800
\begin{array}{l}\phantom{252)}0015\phantom{8}\\252\overline{)3800}\\\phantom{252)}\underline{\phantom{}252\phantom{9}}\\\phantom{252)}1280\\\phantom{252)}\underline{\phantom{}1260\phantom{}}\\\phantom{252)99}20\\\end{array}
Find closest multiple of 252 to 1280. We see that 5 \times 252 = 1260 is the nearest. Now subtract 1260 from 1280 to get reminder 20. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }20
Since 20 is less than 252, stop the division. The reminder is 20. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}