Evaluate
25
Factor
5^{2}
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1500}\\\end{array}
Use the 1^{st} digit 1 from dividend 1500
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1500}\\\end{array}
Since 1 is less than 60, use the next digit 5 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1500
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1500}\\\end{array}
Since 15 is less than 60, use the next digit 0 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1500
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1500}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}30\\\end{array}
Find closest multiple of 60 to 150. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 150 to get reminder 30. Add 2 to quotient.
\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1500}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 1500
\begin{array}{l}\phantom{60)}0025\phantom{8}\\60\overline{)1500}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}300\\\phantom{60)}\underline{\phantom{9}300\phantom{}}\\\phantom{60)9999}0\\\end{array}
Find closest multiple of 60 to 300. We see that 5 \times 60 = 300 is the nearest. Now subtract 300 from 300 to get reminder 0. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }0
Since 0 is less than 60, 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}