Evaluate
\frac{63}{4}=15.75
Factor
\frac{3 ^ {2} \cdot 7}{2 ^ {2}} = 15\frac{3}{4} = 15.75
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\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)11025}\\\end{array}
Use the 1^{st} digit 1 from dividend 11025
\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)11025}\\\end{array}
Since 1 is less than 700, use the next digit 1 from dividend 11025 and add 0 to the quotient
\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)11025}\\\end{array}
Use the 2^{nd} digit 1 from dividend 11025
\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)11025}\\\end{array}
Since 11 is less than 700, use the next digit 0 from dividend 11025 and add 0 to the quotient
\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)11025}\\\end{array}
Use the 3^{rd} digit 0 from dividend 11025
\begin{array}{l}\phantom{700)}000\phantom{6}\\700\overline{)11025}\\\end{array}
Since 110 is less than 700, use the next digit 2 from dividend 11025 and add 0 to the quotient
\begin{array}{l}\phantom{700)}000\phantom{7}\\700\overline{)11025}\\\end{array}
Use the 4^{th} digit 2 from dividend 11025
\begin{array}{l}\phantom{700)}0001\phantom{8}\\700\overline{)11025}\\\phantom{700)}\underline{\phantom{9}700\phantom{9}}\\\phantom{700)9}402\\\end{array}
Find closest multiple of 700 to 1102. We see that 1 \times 700 = 700 is the nearest. Now subtract 700 from 1102 to get reminder 402. Add 1 to quotient.
\begin{array}{l}\phantom{700)}0001\phantom{9}\\700\overline{)11025}\\\phantom{700)}\underline{\phantom{9}700\phantom{9}}\\\phantom{700)9}4025\\\end{array}
Use the 5^{th} digit 5 from dividend 11025
\begin{array}{l}\phantom{700)}00015\phantom{10}\\700\overline{)11025}\\\phantom{700)}\underline{\phantom{9}700\phantom{9}}\\\phantom{700)9}4025\\\phantom{700)}\underline{\phantom{9}3500\phantom{}}\\\phantom{700)99}525\\\end{array}
Find closest multiple of 700 to 4025. We see that 5 \times 700 = 3500 is the nearest. Now subtract 3500 from 4025 to get reminder 525. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }525
Since 525 is less than 700, stop the division. The reminder is 525. The topmost line 00015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}