Evaluate
\frac{20763155}{85406}\approx 243.111198276
Factor
\frac{5 \cdot 7 \cdot 593233}{2 \cdot 42703} = 243\frac{9497}{85406} = 243.1111982764677
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\begin{array}{l}\phantom{512436)}\phantom{1}\\512436\overline{)124578930}\\\end{array}
Use the 1^{st} digit 1 from dividend 124578930
\begin{array}{l}\phantom{512436)}0\phantom{2}\\512436\overline{)124578930}\\\end{array}
Since 1 is less than 512436, use the next digit 2 from dividend 124578930 and add 0 to the quotient
\begin{array}{l}\phantom{512436)}0\phantom{3}\\512436\overline{)124578930}\\\end{array}
Use the 2^{nd} digit 2 from dividend 124578930
\begin{array}{l}\phantom{512436)}00\phantom{4}\\512436\overline{)124578930}\\\end{array}
Since 12 is less than 512436, use the next digit 4 from dividend 124578930 and add 0 to the quotient
\begin{array}{l}\phantom{512436)}00\phantom{5}\\512436\overline{)124578930}\\\end{array}
Use the 3^{rd} digit 4 from dividend 124578930
\begin{array}{l}\phantom{512436)}000\phantom{6}\\512436\overline{)124578930}\\\end{array}
Since 124 is less than 512436, use the next digit 5 from dividend 124578930 and add 0 to the quotient
\begin{array}{l}\phantom{512436)}000\phantom{7}\\512436\overline{)124578930}\\\end{array}
Use the 4^{th} digit 5 from dividend 124578930
\begin{array}{l}\phantom{512436)}0000\phantom{8}\\512436\overline{)124578930}\\\end{array}
Since 1245 is less than 512436, use the next digit 7 from dividend 124578930 and add 0 to the quotient
\begin{array}{l}\phantom{512436)}0000\phantom{9}\\512436\overline{)124578930}\\\end{array}
Use the 5^{th} digit 7 from dividend 124578930
\begin{array}{l}\phantom{512436)}00000\phantom{10}\\512436\overline{)124578930}\\\end{array}
Since 12457 is less than 512436, use the next digit 8 from dividend 124578930 and add 0 to the quotient
\begin{array}{l}\phantom{512436)}00000\phantom{11}\\512436\overline{)124578930}\\\end{array}
Use the 6^{th} digit 8 from dividend 124578930
\begin{array}{l}\phantom{512436)}000000\phantom{12}\\512436\overline{)124578930}\\\end{array}
Since 124578 is less than 512436, use the next digit 9 from dividend 124578930 and add 0 to the quotient
\begin{array}{l}\phantom{512436)}000000\phantom{13}\\512436\overline{)124578930}\\\end{array}
Use the 7^{th} digit 9 from dividend 124578930
\begin{array}{l}\phantom{512436)}0000002\phantom{14}\\512436\overline{)124578930}\\\phantom{512436)}\underline{\phantom{}1024872\phantom{99}}\\\phantom{512436)9}220917\\\end{array}
Find closest multiple of 512436 to 1245789. We see that 2 \times 512436 = 1024872 is the nearest. Now subtract 1024872 from 1245789 to get reminder 220917. Add 2 to quotient.
\begin{array}{l}\phantom{512436)}0000002\phantom{15}\\512436\overline{)124578930}\\\phantom{512436)}\underline{\phantom{}1024872\phantom{99}}\\\phantom{512436)9}2209173\\\end{array}
Use the 8^{th} digit 3 from dividend 124578930
\begin{array}{l}\phantom{512436)}00000024\phantom{16}\\512436\overline{)124578930}\\\phantom{512436)}\underline{\phantom{}1024872\phantom{99}}\\\phantom{512436)9}2209173\\\phantom{512436)}\underline{\phantom{9}2049744\phantom{9}}\\\phantom{512436)99}159429\\\end{array}
Find closest multiple of 512436 to 2209173. We see that 4 \times 512436 = 2049744 is the nearest. Now subtract 2049744 from 2209173 to get reminder 159429. Add 4 to quotient.
\begin{array}{l}\phantom{512436)}00000024\phantom{17}\\512436\overline{)124578930}\\\phantom{512436)}\underline{\phantom{}1024872\phantom{99}}\\\phantom{512436)9}2209173\\\phantom{512436)}\underline{\phantom{9}2049744\phantom{9}}\\\phantom{512436)99}1594290\\\end{array}
Use the 9^{th} digit 0 from dividend 124578930
\begin{array}{l}\phantom{512436)}000000243\phantom{18}\\512436\overline{)124578930}\\\phantom{512436)}\underline{\phantom{}1024872\phantom{99}}\\\phantom{512436)9}2209173\\\phantom{512436)}\underline{\phantom{9}2049744\phantom{9}}\\\phantom{512436)99}1594290\\\phantom{512436)}\underline{\phantom{99}1537308\phantom{}}\\\phantom{512436)9999}56982\\\end{array}
Find closest multiple of 512436 to 1594290. We see that 3 \times 512436 = 1537308 is the nearest. Now subtract 1537308 from 1594290 to get reminder 56982. Add 3 to quotient.
\text{Quotient: }243 \text{Reminder: }56982
Since 56982 is less than 512436, stop the division. The reminder is 56982. The topmost line 000000243 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 243.
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}