Evaluate
25
Factor
5^{2}
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\begin{array}{l}\phantom{140)}\phantom{1}\\140\overline{)3500}\\\end{array}
Use the 1^{st} digit 3 from dividend 3500
\begin{array}{l}\phantom{140)}0\phantom{2}\\140\overline{)3500}\\\end{array}
Since 3 is less than 140, use the next digit 5 from dividend 3500 and add 0 to the quotient
\begin{array}{l}\phantom{140)}0\phantom{3}\\140\overline{)3500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3500
\begin{array}{l}\phantom{140)}00\phantom{4}\\140\overline{)3500}\\\end{array}
Since 35 is less than 140, use the next digit 0 from dividend 3500 and add 0 to the quotient
\begin{array}{l}\phantom{140)}00\phantom{5}\\140\overline{)3500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3500
\begin{array}{l}\phantom{140)}002\phantom{6}\\140\overline{)3500}\\\phantom{140)}\underline{\phantom{}280\phantom{9}}\\\phantom{140)9}70\\\end{array}
Find closest multiple of 140 to 350. We see that 2 \times 140 = 280 is the nearest. Now subtract 280 from 350 to get reminder 70. Add 2 to quotient.
\begin{array}{l}\phantom{140)}002\phantom{7}\\140\overline{)3500}\\\phantom{140)}\underline{\phantom{}280\phantom{9}}\\\phantom{140)9}700\\\end{array}
Use the 4^{th} digit 0 from dividend 3500
\begin{array}{l}\phantom{140)}0025\phantom{8}\\140\overline{)3500}\\\phantom{140)}\underline{\phantom{}280\phantom{9}}\\\phantom{140)9}700\\\phantom{140)}\underline{\phantom{9}700\phantom{}}\\\phantom{140)9999}0\\\end{array}
Find closest multiple of 140 to 700. We see that 5 \times 140 = 700 is the nearest. Now subtract 700 from 700 to get reminder 0. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }0
Since 0 is less than 140, stop the division. The reminder is 0. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.
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}