Evaluate
17
Factor
17
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\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)2125}\\\end{array}
Use the 1^{st} digit 2 from dividend 2125
\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)2125}\\\end{array}
Since 2 is less than 125, use the next digit 1 from dividend 2125 and add 0 to the quotient
\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)2125}\\\end{array}
Use the 2^{nd} digit 1 from dividend 2125
\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)2125}\\\end{array}
Since 21 is less than 125, use the next digit 2 from dividend 2125 and add 0 to the quotient
\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)2125}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2125
\begin{array}{l}\phantom{125)}001\phantom{6}\\125\overline{)2125}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}87\\\end{array}
Find closest multiple of 125 to 212. We see that 1 \times 125 = 125 is the nearest. Now subtract 125 from 212 to get reminder 87. Add 1 to quotient.
\begin{array}{l}\phantom{125)}001\phantom{7}\\125\overline{)2125}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}875\\\end{array}
Use the 4^{th} digit 5 from dividend 2125
\begin{array}{l}\phantom{125)}0017\phantom{8}\\125\overline{)2125}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}875\\\phantom{125)}\underline{\phantom{9}875\phantom{}}\\\phantom{125)9999}0\\\end{array}
Find closest multiple of 125 to 875. We see that 7 \times 125 = 875 is the nearest. Now subtract 875 from 875 to get reminder 0. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }0
Since 0 is less than 125, stop the division. The reminder is 0. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.
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}