Evaluate
\frac{1650}{19}\approx 86.842105263
Factor
\frac{2 \cdot 3 \cdot 5 ^ {2} \cdot 11}{19} = 86\frac{16}{19} = 86.84210526315789
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\begin{array}{l}\phantom{475)}\phantom{1}\\475\overline{)41250}\\\end{array}
Use the 1^{st} digit 4 from dividend 41250
\begin{array}{l}\phantom{475)}0\phantom{2}\\475\overline{)41250}\\\end{array}
Since 4 is less than 475, use the next digit 1 from dividend 41250 and add 0 to the quotient
\begin{array}{l}\phantom{475)}0\phantom{3}\\475\overline{)41250}\\\end{array}
Use the 2^{nd} digit 1 from dividend 41250
\begin{array}{l}\phantom{475)}00\phantom{4}\\475\overline{)41250}\\\end{array}
Since 41 is less than 475, use the next digit 2 from dividend 41250 and add 0 to the quotient
\begin{array}{l}\phantom{475)}00\phantom{5}\\475\overline{)41250}\\\end{array}
Use the 3^{rd} digit 2 from dividend 41250
\begin{array}{l}\phantom{475)}000\phantom{6}\\475\overline{)41250}\\\end{array}
Since 412 is less than 475, use the next digit 5 from dividend 41250 and add 0 to the quotient
\begin{array}{l}\phantom{475)}000\phantom{7}\\475\overline{)41250}\\\end{array}
Use the 4^{th} digit 5 from dividend 41250
\begin{array}{l}\phantom{475)}0008\phantom{8}\\475\overline{)41250}\\\phantom{475)}\underline{\phantom{}3800\phantom{9}}\\\phantom{475)9}325\\\end{array}
Find closest multiple of 475 to 4125. We see that 8 \times 475 = 3800 is the nearest. Now subtract 3800 from 4125 to get reminder 325. Add 8 to quotient.
\begin{array}{l}\phantom{475)}0008\phantom{9}\\475\overline{)41250}\\\phantom{475)}\underline{\phantom{}3800\phantom{9}}\\\phantom{475)9}3250\\\end{array}
Use the 5^{th} digit 0 from dividend 41250
\begin{array}{l}\phantom{475)}00086\phantom{10}\\475\overline{)41250}\\\phantom{475)}\underline{\phantom{}3800\phantom{9}}\\\phantom{475)9}3250\\\phantom{475)}\underline{\phantom{9}2850\phantom{}}\\\phantom{475)99}400\\\end{array}
Find closest multiple of 475 to 3250. We see that 6 \times 475 = 2850 is the nearest. Now subtract 2850 from 3250 to get reminder 400. Add 6 to quotient.
\text{Quotient: }86 \text{Reminder: }400
Since 400 is less than 475, stop the division. The reminder is 400. The topmost line 00086 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 86.
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}