Evaluate
\frac{76}{17}\approx 4.470588235
Factor
\frac{2 ^ {2} \cdot 19}{17} = 4\frac{8}{17} = 4.470588235294118
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\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)76}\\\end{array}
Use the 1^{st} digit 7 from dividend 76
\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)76}\\\end{array}
Since 7 is less than 17, use the next digit 6 from dividend 76 and add 0 to the quotient
\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)76}\\\end{array}
Use the 2^{nd} digit 6 from dividend 76
\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)76}\\\phantom{17)}\underline{\phantom{}68\phantom{}}\\\phantom{17)9}8\\\end{array}
Find closest multiple of 17 to 76. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 76 to get reminder 8. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }8
Since 8 is less than 17, stop the division. The reminder is 8. The topmost line 04 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}