Evaluate
\frac{101}{3}\approx 33.666666667
Factor
\frac{101}{3} = 33\frac{2}{3} = 33.666666666666664
Share
Copied to clipboard
\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)2020}\\\end{array}
Use the 1^{st} digit 2 from dividend 2020
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)2020}\\\end{array}
Since 2 is less than 60, use the next digit 0 from dividend 2020 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)2020}\\\end{array}
Use the 2^{nd} digit 0 from dividend 2020
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)2020}\\\end{array}
Since 20 is less than 60, use the next digit 2 from dividend 2020 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)2020}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2020
\begin{array}{l}\phantom{60)}003\phantom{6}\\60\overline{)2020}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}22\\\end{array}
Find closest multiple of 60 to 202. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 202 to get reminder 22. Add 3 to quotient.
\begin{array}{l}\phantom{60)}003\phantom{7}\\60\overline{)2020}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}220\\\end{array}
Use the 4^{th} digit 0 from dividend 2020
\begin{array}{l}\phantom{60)}0033\phantom{8}\\60\overline{)2020}\\\phantom{60)}\underline{\phantom{}180\phantom{9}}\\\phantom{60)9}220\\\phantom{60)}\underline{\phantom{9}180\phantom{}}\\\phantom{60)99}40\\\end{array}
Find closest multiple of 60 to 220. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 220 to get reminder 40. Add 3 to quotient.
\text{Quotient: }33 \text{Reminder: }40
Since 40 is less than 60, stop the division. The reminder is 40. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.
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}