Evaluate
8758
Factor
2\times 29\times 151
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)175160}\\\end{array}
Use the 1^{st} digit 1 from dividend 175160
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)175160}\\\end{array}
Since 1 is less than 20, use the next digit 7 from dividend 175160 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)175160}\\\end{array}
Use the 2^{nd} digit 7 from dividend 175160
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)175160}\\\end{array}
Since 17 is less than 20, use the next digit 5 from dividend 175160 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)175160}\\\end{array}
Use the 3^{rd} digit 5 from dividend 175160
\begin{array}{l}\phantom{20)}008\phantom{6}\\20\overline{)175160}\\\phantom{20)}\underline{\phantom{}160\phantom{999}}\\\phantom{20)9}15\\\end{array}
Find closest multiple of 20 to 175. We see that 8 \times 20 = 160 is the nearest. Now subtract 160 from 175 to get reminder 15. Add 8 to quotient.
\begin{array}{l}\phantom{20)}008\phantom{7}\\20\overline{)175160}\\\phantom{20)}\underline{\phantom{}160\phantom{999}}\\\phantom{20)9}151\\\end{array}
Use the 4^{th} digit 1 from dividend 175160
\begin{array}{l}\phantom{20)}0087\phantom{8}\\20\overline{)175160}\\\phantom{20)}\underline{\phantom{}160\phantom{999}}\\\phantom{20)9}151\\\phantom{20)}\underline{\phantom{9}140\phantom{99}}\\\phantom{20)99}11\\\end{array}
Find closest multiple of 20 to 151. We see that 7 \times 20 = 140 is the nearest. Now subtract 140 from 151 to get reminder 11. Add 7 to quotient.
\begin{array}{l}\phantom{20)}0087\phantom{9}\\20\overline{)175160}\\\phantom{20)}\underline{\phantom{}160\phantom{999}}\\\phantom{20)9}151\\\phantom{20)}\underline{\phantom{9}140\phantom{99}}\\\phantom{20)99}116\\\end{array}
Use the 5^{th} digit 6 from dividend 175160
\begin{array}{l}\phantom{20)}00875\phantom{10}\\20\overline{)175160}\\\phantom{20)}\underline{\phantom{}160\phantom{999}}\\\phantom{20)9}151\\\phantom{20)}\underline{\phantom{9}140\phantom{99}}\\\phantom{20)99}116\\\phantom{20)}\underline{\phantom{99}100\phantom{9}}\\\phantom{20)999}16\\\end{array}
Find closest multiple of 20 to 116. We see that 5 \times 20 = 100 is the nearest. Now subtract 100 from 116 to get reminder 16. Add 5 to quotient.
\begin{array}{l}\phantom{20)}00875\phantom{11}\\20\overline{)175160}\\\phantom{20)}\underline{\phantom{}160\phantom{999}}\\\phantom{20)9}151\\\phantom{20)}\underline{\phantom{9}140\phantom{99}}\\\phantom{20)99}116\\\phantom{20)}\underline{\phantom{99}100\phantom{9}}\\\phantom{20)999}160\\\end{array}
Use the 6^{th} digit 0 from dividend 175160
\begin{array}{l}\phantom{20)}008758\phantom{12}\\20\overline{)175160}\\\phantom{20)}\underline{\phantom{}160\phantom{999}}\\\phantom{20)9}151\\\phantom{20)}\underline{\phantom{9}140\phantom{99}}\\\phantom{20)99}116\\\phantom{20)}\underline{\phantom{99}100\phantom{9}}\\\phantom{20)999}160\\\phantom{20)}\underline{\phantom{999}160\phantom{}}\\\phantom{20)999999}0\\\end{array}
Find closest multiple of 20 to 160. We see that 8 \times 20 = 160 is the nearest. Now subtract 160 from 160 to get reminder 0. Add 8 to quotient.
\text{Quotient: }8758 \text{Reminder: }0
Since 0 is less than 20, stop the division. The reminder is 0. The topmost line 008758 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8758.
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}