Evaluate
\frac{2485}{593}\approx 4.190556492
Factor
\frac{5 \cdot 7 \cdot 71}{593} = 4\frac{113}{593} = 4.190556492411467
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\begin{array}{l}\phantom{21348)}\phantom{1}\\21348\overline{)89460}\\\end{array}
Use the 1^{st} digit 8 from dividend 89460
\begin{array}{l}\phantom{21348)}0\phantom{2}\\21348\overline{)89460}\\\end{array}
Since 8 is less than 21348, use the next digit 9 from dividend 89460 and add 0 to the quotient
\begin{array}{l}\phantom{21348)}0\phantom{3}\\21348\overline{)89460}\\\end{array}
Use the 2^{nd} digit 9 from dividend 89460
\begin{array}{l}\phantom{21348)}00\phantom{4}\\21348\overline{)89460}\\\end{array}
Since 89 is less than 21348, use the next digit 4 from dividend 89460 and add 0 to the quotient
\begin{array}{l}\phantom{21348)}00\phantom{5}\\21348\overline{)89460}\\\end{array}
Use the 3^{rd} digit 4 from dividend 89460
\begin{array}{l}\phantom{21348)}000\phantom{6}\\21348\overline{)89460}\\\end{array}
Since 894 is less than 21348, use the next digit 6 from dividend 89460 and add 0 to the quotient
\begin{array}{l}\phantom{21348)}000\phantom{7}\\21348\overline{)89460}\\\end{array}
Use the 4^{th} digit 6 from dividend 89460
\begin{array}{l}\phantom{21348)}0000\phantom{8}\\21348\overline{)89460}\\\end{array}
Since 8946 is less than 21348, use the next digit 0 from dividend 89460 and add 0 to the quotient
\begin{array}{l}\phantom{21348)}0000\phantom{9}\\21348\overline{)89460}\\\end{array}
Use the 5^{th} digit 0 from dividend 89460
\begin{array}{l}\phantom{21348)}00004\phantom{10}\\21348\overline{)89460}\\\phantom{21348)}\underline{\phantom{}85392\phantom{}}\\\phantom{21348)9}4068\\\end{array}
Find closest multiple of 21348 to 89460. We see that 4 \times 21348 = 85392 is the nearest. Now subtract 85392 from 89460 to get reminder 4068. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }4068
Since 4068 is less than 21348, stop the division. The reminder is 4068. The topmost line 00004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}