Evaluate
\frac{1229}{10}=122.9
Factor
\frac{1229}{2 \cdot 5} = 122\frac{9}{10} = 122.9
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)2458}\\\end{array}
Use the 1^{st} digit 2 from dividend 2458
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)2458}\\\end{array}
Since 2 is less than 20, use the next digit 4 from dividend 2458 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)2458}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2458
\begin{array}{l}\phantom{20)}01\phantom{4}\\20\overline{)2458}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)9}4\\\end{array}
Find closest multiple of 20 to 24. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 24 to get reminder 4. Add 1 to quotient.
\begin{array}{l}\phantom{20)}01\phantom{5}\\20\overline{)2458}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)9}45\\\end{array}
Use the 3^{rd} digit 5 from dividend 2458
\begin{array}{l}\phantom{20)}012\phantom{6}\\20\overline{)2458}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)9}45\\\phantom{20)}\underline{\phantom{9}40\phantom{9}}\\\phantom{20)99}5\\\end{array}
Find closest multiple of 20 to 45. We see that 2 \times 20 = 40 is the nearest. Now subtract 40 from 45 to get reminder 5. Add 2 to quotient.
\begin{array}{l}\phantom{20)}012\phantom{7}\\20\overline{)2458}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)9}45\\\phantom{20)}\underline{\phantom{9}40\phantom{9}}\\\phantom{20)99}58\\\end{array}
Use the 4^{th} digit 8 from dividend 2458
\begin{array}{l}\phantom{20)}0122\phantom{8}\\20\overline{)2458}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)9}45\\\phantom{20)}\underline{\phantom{9}40\phantom{9}}\\\phantom{20)99}58\\\phantom{20)}\underline{\phantom{99}40\phantom{}}\\\phantom{20)99}18\\\end{array}
Find closest multiple of 20 to 58. We see that 2 \times 20 = 40 is the nearest. Now subtract 40 from 58 to get reminder 18. Add 2 to quotient.
\text{Quotient: }122 \text{Reminder: }18
Since 18 is less than 20, stop the division. The reminder is 18. The topmost line 0122 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 122.
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}