Evaluate
25
Factor
5^{2}
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\begin{array}{l}\phantom{157)}\phantom{1}\\157\overline{)3925}\\\end{array}
Use the 1^{st} digit 3 from dividend 3925
\begin{array}{l}\phantom{157)}0\phantom{2}\\157\overline{)3925}\\\end{array}
Since 3 is less than 157, use the next digit 9 from dividend 3925 and add 0 to the quotient
\begin{array}{l}\phantom{157)}0\phantom{3}\\157\overline{)3925}\\\end{array}
Use the 2^{nd} digit 9 from dividend 3925
\begin{array}{l}\phantom{157)}00\phantom{4}\\157\overline{)3925}\\\end{array}
Since 39 is less than 157, use the next digit 2 from dividend 3925 and add 0 to the quotient
\begin{array}{l}\phantom{157)}00\phantom{5}\\157\overline{)3925}\\\end{array}
Use the 3^{rd} digit 2 from dividend 3925
\begin{array}{l}\phantom{157)}002\phantom{6}\\157\overline{)3925}\\\phantom{157)}\underline{\phantom{}314\phantom{9}}\\\phantom{157)9}78\\\end{array}
Find closest multiple of 157 to 392. We see that 2 \times 157 = 314 is the nearest. Now subtract 314 from 392 to get reminder 78. Add 2 to quotient.
\begin{array}{l}\phantom{157)}002\phantom{7}\\157\overline{)3925}\\\phantom{157)}\underline{\phantom{}314\phantom{9}}\\\phantom{157)9}785\\\end{array}
Use the 4^{th} digit 5 from dividend 3925
\begin{array}{l}\phantom{157)}0025\phantom{8}\\157\overline{)3925}\\\phantom{157)}\underline{\phantom{}314\phantom{9}}\\\phantom{157)9}785\\\phantom{157)}\underline{\phantom{9}785\phantom{}}\\\phantom{157)9999}0\\\end{array}
Find closest multiple of 157 to 785. We see that 5 \times 157 = 785 is the nearest. Now subtract 785 from 785 to get reminder 0. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }0
Since 0 is less than 157, 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}