Evaluate
\frac{45799}{3215}\approx 14.245412131
Factor
\frac{13 ^ {2} \cdot 271}{5 \cdot 643} = 14\frac{789}{3215} = 14.245412130637636
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\begin{array}{l}\phantom{3215)}\phantom{1}\\3215\overline{)45799}\\\end{array}
Use the 1^{st} digit 4 from dividend 45799
\begin{array}{l}\phantom{3215)}0\phantom{2}\\3215\overline{)45799}\\\end{array}
Since 4 is less than 3215, use the next digit 5 from dividend 45799 and add 0 to the quotient
\begin{array}{l}\phantom{3215)}0\phantom{3}\\3215\overline{)45799}\\\end{array}
Use the 2^{nd} digit 5 from dividend 45799
\begin{array}{l}\phantom{3215)}00\phantom{4}\\3215\overline{)45799}\\\end{array}
Since 45 is less than 3215, use the next digit 7 from dividend 45799 and add 0 to the quotient
\begin{array}{l}\phantom{3215)}00\phantom{5}\\3215\overline{)45799}\\\end{array}
Use the 3^{rd} digit 7 from dividend 45799
\begin{array}{l}\phantom{3215)}000\phantom{6}\\3215\overline{)45799}\\\end{array}
Since 457 is less than 3215, use the next digit 9 from dividend 45799 and add 0 to the quotient
\begin{array}{l}\phantom{3215)}000\phantom{7}\\3215\overline{)45799}\\\end{array}
Use the 4^{th} digit 9 from dividend 45799
\begin{array}{l}\phantom{3215)}0001\phantom{8}\\3215\overline{)45799}\\\phantom{3215)}\underline{\phantom{}3215\phantom{9}}\\\phantom{3215)}1364\\\end{array}
Find closest multiple of 3215 to 4579. We see that 1 \times 3215 = 3215 is the nearest. Now subtract 3215 from 4579 to get reminder 1364. Add 1 to quotient.
\begin{array}{l}\phantom{3215)}0001\phantom{9}\\3215\overline{)45799}\\\phantom{3215)}\underline{\phantom{}3215\phantom{9}}\\\phantom{3215)}13649\\\end{array}
Use the 5^{th} digit 9 from dividend 45799
\begin{array}{l}\phantom{3215)}00014\phantom{10}\\3215\overline{)45799}\\\phantom{3215)}\underline{\phantom{}3215\phantom{9}}\\\phantom{3215)}13649\\\phantom{3215)}\underline{\phantom{}12860\phantom{}}\\\phantom{3215)99}789\\\end{array}
Find closest multiple of 3215 to 13649. We see that 4 \times 3215 = 12860 is the nearest. Now subtract 12860 from 13649 to get reminder 789. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }789
Since 789 is less than 3215, stop the division. The reminder is 789. The topmost line 00014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.
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}