Evaluate
\frac{1634}{5}=326.8
Factor
\frac{2 \cdot 19 \cdot 43}{5} = 326\frac{4}{5} = 326.8
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\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)9804}\\\end{array}
Use the 1^{st} digit 9 from dividend 9804
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)9804}\\\end{array}
Since 9 is less than 30, use the next digit 8 from dividend 9804 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)9804}\\\end{array}
Use the 2^{nd} digit 8 from dividend 9804
\begin{array}{l}\phantom{30)}03\phantom{4}\\30\overline{)9804}\\\phantom{30)}\underline{\phantom{}90\phantom{99}}\\\phantom{30)9}8\\\end{array}
Find closest multiple of 30 to 98. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 98 to get reminder 8. Add 3 to quotient.
\begin{array}{l}\phantom{30)}03\phantom{5}\\30\overline{)9804}\\\phantom{30)}\underline{\phantom{}90\phantom{99}}\\\phantom{30)9}80\\\end{array}
Use the 3^{rd} digit 0 from dividend 9804
\begin{array}{l}\phantom{30)}032\phantom{6}\\30\overline{)9804}\\\phantom{30)}\underline{\phantom{}90\phantom{99}}\\\phantom{30)9}80\\\phantom{30)}\underline{\phantom{9}60\phantom{9}}\\\phantom{30)9}20\\\end{array}
Find closest multiple of 30 to 80. We see that 2 \times 30 = 60 is the nearest. Now subtract 60 from 80 to get reminder 20. Add 2 to quotient.
\begin{array}{l}\phantom{30)}032\phantom{7}\\30\overline{)9804}\\\phantom{30)}\underline{\phantom{}90\phantom{99}}\\\phantom{30)9}80\\\phantom{30)}\underline{\phantom{9}60\phantom{9}}\\\phantom{30)9}204\\\end{array}
Use the 4^{th} digit 4 from dividend 9804
\begin{array}{l}\phantom{30)}0326\phantom{8}\\30\overline{)9804}\\\phantom{30)}\underline{\phantom{}90\phantom{99}}\\\phantom{30)9}80\\\phantom{30)}\underline{\phantom{9}60\phantom{9}}\\\phantom{30)9}204\\\phantom{30)}\underline{\phantom{9}180\phantom{}}\\\phantom{30)99}24\\\end{array}
Find closest multiple of 30 to 204. We see that 6 \times 30 = 180 is the nearest. Now subtract 180 from 204 to get reminder 24. Add 6 to quotient.
\text{Quotient: }326 \text{Reminder: }24
Since 24 is less than 30, stop the division. The reminder is 24. The topmost line 0326 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 326.
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}