Evaluate
\frac{157}{20}=7.85
Factor
\frac{157}{2 ^ {2} \cdot 5} = 7\frac{17}{20} = 7.85
Share
Copied to clipboard
\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)157}\\\end{array}
Use the 1^{st} digit 1 from dividend 157
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)157}\\\end{array}
Since 1 is less than 20, use the next digit 5 from dividend 157 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)157}\\\end{array}
Use the 2^{nd} digit 5 from dividend 157
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)157}\\\end{array}
Since 15 is less than 20, use the next digit 7 from dividend 157 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)157}\\\end{array}
Use the 3^{rd} digit 7 from dividend 157
\begin{array}{l}\phantom{20)}007\phantom{6}\\20\overline{)157}\\\phantom{20)}\underline{\phantom{}140\phantom{}}\\\phantom{20)9}17\\\end{array}
Find closest multiple of 20 to 157. We see that 7 \times 20 = 140 is the nearest. Now subtract 140 from 157 to get reminder 17. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }17
Since 17 is less than 20, stop the division. The reminder is 17. 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}