Evaluate
\frac{276}{35}\approx 7.885714286
Factor
\frac{2 ^ {2} \cdot 3 \cdot 23}{5 \cdot 7} = 7\frac{31}{35} = 7.885714285714286
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\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)552}\\\end{array}
Use the 1^{st} digit 5 from dividend 552
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)552}\\\end{array}
Since 5 is less than 70, use the next digit 5 from dividend 552 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)552}\\\end{array}
Use the 2^{nd} digit 5 from dividend 552
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)552}\\\end{array}
Since 55 is less than 70, use the next digit 2 from dividend 552 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)552}\\\end{array}
Use the 3^{rd} digit 2 from dividend 552
\begin{array}{l}\phantom{70)}007\phantom{6}\\70\overline{)552}\\\phantom{70)}\underline{\phantom{}490\phantom{}}\\\phantom{70)9}62\\\end{array}
Find closest multiple of 70 to 552. We see that 7 \times 70 = 490 is the nearest. Now subtract 490 from 552 to get reminder 62. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }62
Since 62 is less than 70, stop the division. The reminder is 62. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}