Evaluate
\frac{956}{5}=191.2
Factor
\frac{2 ^ {2} \cdot 239}{5} = 191\frac{1}{5} = 191.2
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)3824}\\\end{array}
Use the 1^{st} digit 3 from dividend 3824
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)3824}\\\end{array}
Since 3 is less than 20, use the next digit 8 from dividend 3824 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)3824}\\\end{array}
Use the 2^{nd} digit 8 from dividend 3824
\begin{array}{l}\phantom{20)}01\phantom{4}\\20\overline{)3824}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}18\\\end{array}
Find closest multiple of 20 to 38. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 38 to get reminder 18. Add 1 to quotient.
\begin{array}{l}\phantom{20)}01\phantom{5}\\20\overline{)3824}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}182\\\end{array}
Use the 3^{rd} digit 2 from dividend 3824
\begin{array}{l}\phantom{20)}019\phantom{6}\\20\overline{)3824}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}182\\\phantom{20)}\underline{\phantom{}180\phantom{9}}\\\phantom{20)99}2\\\end{array}
Find closest multiple of 20 to 182. We see that 9 \times 20 = 180 is the nearest. Now subtract 180 from 182 to get reminder 2. Add 9 to quotient.
\begin{array}{l}\phantom{20)}019\phantom{7}\\20\overline{)3824}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}182\\\phantom{20)}\underline{\phantom{}180\phantom{9}}\\\phantom{20)99}24\\\end{array}
Use the 4^{th} digit 4 from dividend 3824
\begin{array}{l}\phantom{20)}0191\phantom{8}\\20\overline{)3824}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}182\\\phantom{20)}\underline{\phantom{}180\phantom{9}}\\\phantom{20)99}24\\\phantom{20)}\underline{\phantom{99}20\phantom{}}\\\phantom{20)999}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.
\text{Quotient: }191 \text{Reminder: }4
Since 4 is less than 20, stop the division. The reminder is 4. The topmost line 0191 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 191.
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}