Evaluate
3175
Factor
5^{2}\times 127
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)63500}\\\end{array}
Use the 1^{st} digit 6 from dividend 63500
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)63500}\\\end{array}
Since 6 is less than 20, use the next digit 3 from dividend 63500 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)63500}\\\end{array}
Use the 2^{nd} digit 3 from dividend 63500
\begin{array}{l}\phantom{20)}03\phantom{4}\\20\overline{)63500}\\\phantom{20)}\underline{\phantom{}60\phantom{999}}\\\phantom{20)9}3\\\end{array}
Find closest multiple of 20 to 63. We see that 3 \times 20 = 60 is the nearest. Now subtract 60 from 63 to get reminder 3. Add 3 to quotient.
\begin{array}{l}\phantom{20)}03\phantom{5}\\20\overline{)63500}\\\phantom{20)}\underline{\phantom{}60\phantom{999}}\\\phantom{20)9}35\\\end{array}
Use the 3^{rd} digit 5 from dividend 63500
\begin{array}{l}\phantom{20)}031\phantom{6}\\20\overline{)63500}\\\phantom{20)}\underline{\phantom{}60\phantom{999}}\\\phantom{20)9}35\\\phantom{20)}\underline{\phantom{9}20\phantom{99}}\\\phantom{20)9}15\\\end{array}
Find closest multiple of 20 to 35. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 35 to get reminder 15. Add 1 to quotient.
\begin{array}{l}\phantom{20)}031\phantom{7}\\20\overline{)63500}\\\phantom{20)}\underline{\phantom{}60\phantom{999}}\\\phantom{20)9}35\\\phantom{20)}\underline{\phantom{9}20\phantom{99}}\\\phantom{20)9}150\\\end{array}
Use the 4^{th} digit 0 from dividend 63500
\begin{array}{l}\phantom{20)}0317\phantom{8}\\20\overline{)63500}\\\phantom{20)}\underline{\phantom{}60\phantom{999}}\\\phantom{20)9}35\\\phantom{20)}\underline{\phantom{9}20\phantom{99}}\\\phantom{20)9}150\\\phantom{20)}\underline{\phantom{9}140\phantom{9}}\\\phantom{20)99}10\\\end{array}
Find closest multiple of 20 to 150. We see that 7 \times 20 = 140 is the nearest. Now subtract 140 from 150 to get reminder 10. Add 7 to quotient.
\begin{array}{l}\phantom{20)}0317\phantom{9}\\20\overline{)63500}\\\phantom{20)}\underline{\phantom{}60\phantom{999}}\\\phantom{20)9}35\\\phantom{20)}\underline{\phantom{9}20\phantom{99}}\\\phantom{20)9}150\\\phantom{20)}\underline{\phantom{9}140\phantom{9}}\\\phantom{20)99}100\\\end{array}
Use the 5^{th} digit 0 from dividend 63500
\begin{array}{l}\phantom{20)}03175\phantom{10}\\20\overline{)63500}\\\phantom{20)}\underline{\phantom{}60\phantom{999}}\\\phantom{20)9}35\\\phantom{20)}\underline{\phantom{9}20\phantom{99}}\\\phantom{20)9}150\\\phantom{20)}\underline{\phantom{9}140\phantom{9}}\\\phantom{20)99}100\\\phantom{20)}\underline{\phantom{99}100\phantom{}}\\\phantom{20)99999}0\\\end{array}
Find closest multiple of 20 to 100. We see that 5 \times 20 = 100 is the nearest. Now subtract 100 from 100 to get reminder 0. Add 5 to quotient.
\text{Quotient: }3175 \text{Reminder: }0
Since 0 is less than 20, stop the division. The reminder is 0. The topmost line 03175 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3175.
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}