Evaluate
\frac{425}{12}\approx 35.416666667
Factor
\frac{5 ^ {2} \cdot 17}{2 ^ {2} \cdot 3} = 35\frac{5}{12} = 35.416666666666664
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)850}\\\end{array}
Use the 1^{st} digit 8 from dividend 850
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)850}\\\end{array}
Since 8 is less than 24, use the next digit 5 from dividend 850 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)850}\\\end{array}
Use the 2^{nd} digit 5 from dividend 850
\begin{array}{l}\phantom{24)}03\phantom{4}\\24\overline{)850}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)}13\\\end{array}
Find closest multiple of 24 to 85. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 85 to get reminder 13. Add 3 to quotient.
\begin{array}{l}\phantom{24)}03\phantom{5}\\24\overline{)850}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)}130\\\end{array}
Use the 3^{rd} digit 0 from dividend 850
\begin{array}{l}\phantom{24)}035\phantom{6}\\24\overline{)850}\\\phantom{24)}\underline{\phantom{}72\phantom{9}}\\\phantom{24)}130\\\phantom{24)}\underline{\phantom{}120\phantom{}}\\\phantom{24)9}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.
\text{Quotient: }35 \text{Reminder: }10
Since 10 is less than 24, stop the division. The reminder is 10. The topmost line 035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.
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}