Evaluate
\frac{5893}{10}=589.3
Factor
\frac{71 \cdot 83}{2 \cdot 5} = 589\frac{3}{10} = 589.3
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)5893}\\\end{array}
Use the 1^{st} digit 5 from dividend 5893
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)5893}\\\end{array}
Since 5 is less than 10, use the next digit 8 from dividend 5893 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)5893}\\\end{array}
Use the 2^{nd} digit 8 from dividend 5893
\begin{array}{l}\phantom{10)}05\phantom{4}\\10\overline{)5893}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}8\\\end{array}
Find closest multiple of 10 to 58. We see that 5 \times 10 = 50 is the nearest. Now subtract 50 from 58 to get reminder 8. Add 5 to quotient.
\begin{array}{l}\phantom{10)}05\phantom{5}\\10\overline{)5893}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}89\\\end{array}
Use the 3^{rd} digit 9 from dividend 5893
\begin{array}{l}\phantom{10)}058\phantom{6}\\10\overline{)5893}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}89\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}9\\\end{array}
Find closest multiple of 10 to 89. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 89 to get reminder 9. Add 8 to quotient.
\begin{array}{l}\phantom{10)}058\phantom{7}\\10\overline{)5893}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}89\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}93\\\end{array}
Use the 4^{th} digit 3 from dividend 5893
\begin{array}{l}\phantom{10)}0589\phantom{8}\\10\overline{)5893}\\\phantom{10)}\underline{\phantom{}50\phantom{99}}\\\phantom{10)9}89\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}93\\\phantom{10)}\underline{\phantom{99}90\phantom{}}\\\phantom{10)999}3\\\end{array}
Find closest multiple of 10 to 93. We see that 9 \times 10 = 90 is the nearest. Now subtract 90 from 93 to get reminder 3. Add 9 to quotient.
\text{Quotient: }589 \text{Reminder: }3
Since 3 is less than 10, stop the division. The reminder is 3. The topmost line 0589 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 589.
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}