Evaluate
\frac{151}{20}=7.55
Factor
\frac{151}{2 ^ {2} \cdot 5} = 7\frac{11}{20} = 7.55
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)151}\\\end{array}
Use the 1^{st} digit 1 from dividend 151
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)151}\\\end{array}
Since 1 is less than 20, use the next digit 5 from dividend 151 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)151}\\\end{array}
Use the 2^{nd} digit 5 from dividend 151
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)151}\\\end{array}
Since 15 is less than 20, use the next digit 1 from dividend 151 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)151}\\\end{array}
Use the 3^{rd} digit 1 from dividend 151
\begin{array}{l}\phantom{20)}007\phantom{6}\\20\overline{)151}\\\phantom{20)}\underline{\phantom{}140\phantom{}}\\\phantom{20)9}11\\\end{array}
Find closest multiple of 20 to 151. We see that 7 \times 20 = 140 is the nearest. Now subtract 140 from 151 to get reminder 11. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }11
Since 11 is less than 20, stop the division. The reminder is 11. 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}