Evaluate
243
Factor
3^{5}
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)4860}\\\end{array}
Use the 1^{st} digit 4 from dividend 4860
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)4860}\\\end{array}
Since 4 is less than 20, use the next digit 8 from dividend 4860 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)4860}\\\end{array}
Use the 2^{nd} digit 8 from dividend 4860
\begin{array}{l}\phantom{20)}02\phantom{4}\\20\overline{)4860}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}8\\\end{array}
Find closest multiple of 20 to 48. We see that 2 \times 20 = 40 is the nearest. Now subtract 40 from 48 to get reminder 8. Add 2 to quotient.
\begin{array}{l}\phantom{20)}02\phantom{5}\\20\overline{)4860}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}86\\\end{array}
Use the 3^{rd} digit 6 from dividend 4860
\begin{array}{l}\phantom{20)}024\phantom{6}\\20\overline{)4860}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}86\\\phantom{20)}\underline{\phantom{9}80\phantom{9}}\\\phantom{20)99}6\\\end{array}
Find closest multiple of 20 to 86. We see that 4 \times 20 = 80 is the nearest. Now subtract 80 from 86 to get reminder 6. Add 4 to quotient.
\begin{array}{l}\phantom{20)}024\phantom{7}\\20\overline{)4860}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}86\\\phantom{20)}\underline{\phantom{9}80\phantom{9}}\\\phantom{20)99}60\\\end{array}
Use the 4^{th} digit 0 from dividend 4860
\begin{array}{l}\phantom{20)}0243\phantom{8}\\20\overline{)4860}\\\phantom{20)}\underline{\phantom{}40\phantom{99}}\\\phantom{20)9}86\\\phantom{20)}\underline{\phantom{9}80\phantom{9}}\\\phantom{20)99}60\\\phantom{20)}\underline{\phantom{99}60\phantom{}}\\\phantom{20)9999}0\\\end{array}
Find closest multiple of 20 to 60. We see that 3 \times 20 = 60 is the nearest. Now subtract 60 from 60 to get reminder 0. Add 3 to quotient.
\text{Quotient: }243 \text{Reminder: }0
Since 0 is less than 20, stop the division. The reminder is 0. The topmost line 0243 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 243.
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}