Evaluate
5
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5
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\begin{array}{l}\phantom{170)}\phantom{1}\\170\overline{)850}\\\end{array}
Use the 1^{st} digit 8 from dividend 850
\begin{array}{l}\phantom{170)}0\phantom{2}\\170\overline{)850}\\\end{array}
Since 8 is less than 170, use the next digit 5 from dividend 850 and add 0 to the quotient
\begin{array}{l}\phantom{170)}0\phantom{3}\\170\overline{)850}\\\end{array}
Use the 2^{nd} digit 5 from dividend 850
\begin{array}{l}\phantom{170)}00\phantom{4}\\170\overline{)850}\\\end{array}
Since 85 is less than 170, use the next digit 0 from dividend 850 and add 0 to the quotient
\begin{array}{l}\phantom{170)}00\phantom{5}\\170\overline{)850}\\\end{array}
Use the 3^{rd} digit 0 from dividend 850
\begin{array}{l}\phantom{170)}005\phantom{6}\\170\overline{)850}\\\phantom{170)}\underline{\phantom{}850\phantom{}}\\\phantom{170)999}0\\\end{array}
Find closest multiple of 170 to 850. We see that 5 \times 170 = 850 is the nearest. Now subtract 850 from 850 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 170, stop the division. The reminder is 0. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}