Evaluate
\frac{73947618}{1291}\approx 57279.332300542
Factor
\frac{2 \cdot 3 ^ {2} \cdot 1423 \cdot 2887}{1291} = 57279\frac{429}{1291} = 57279.33230054221
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\begin{array}{l}\phantom{2582)}\phantom{1}\\2582\overline{)147895236}\\\end{array}
Use the 1^{st} digit 1 from dividend 147895236
\begin{array}{l}\phantom{2582)}0\phantom{2}\\2582\overline{)147895236}\\\end{array}
Since 1 is less than 2582, use the next digit 4 from dividend 147895236 and add 0 to the quotient
\begin{array}{l}\phantom{2582)}0\phantom{3}\\2582\overline{)147895236}\\\end{array}
Use the 2^{nd} digit 4 from dividend 147895236
\begin{array}{l}\phantom{2582)}00\phantom{4}\\2582\overline{)147895236}\\\end{array}
Since 14 is less than 2582, use the next digit 7 from dividend 147895236 and add 0 to the quotient
\begin{array}{l}\phantom{2582)}00\phantom{5}\\2582\overline{)147895236}\\\end{array}
Use the 3^{rd} digit 7 from dividend 147895236
\begin{array}{l}\phantom{2582)}000\phantom{6}\\2582\overline{)147895236}\\\end{array}
Since 147 is less than 2582, use the next digit 8 from dividend 147895236 and add 0 to the quotient
\begin{array}{l}\phantom{2582)}000\phantom{7}\\2582\overline{)147895236}\\\end{array}
Use the 4^{th} digit 8 from dividend 147895236
\begin{array}{l}\phantom{2582)}0000\phantom{8}\\2582\overline{)147895236}\\\end{array}
Since 1478 is less than 2582, use the next digit 9 from dividend 147895236 and add 0 to the quotient
\begin{array}{l}\phantom{2582)}0000\phantom{9}\\2582\overline{)147895236}\\\end{array}
Use the 5^{th} digit 9 from dividend 147895236
\begin{array}{l}\phantom{2582)}00005\phantom{10}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}1879\\\end{array}
Find closest multiple of 2582 to 14789. We see that 5 \times 2582 = 12910 is the nearest. Now subtract 12910 from 14789 to get reminder 1879. Add 5 to quotient.
\begin{array}{l}\phantom{2582)}00005\phantom{11}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}18795\\\end{array}
Use the 6^{th} digit 5 from dividend 147895236
\begin{array}{l}\phantom{2582)}000057\phantom{12}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}18795\\\phantom{2582)}\underline{\phantom{9}18074\phantom{999}}\\\phantom{2582)999}721\\\end{array}
Find closest multiple of 2582 to 18795. We see that 7 \times 2582 = 18074 is the nearest. Now subtract 18074 from 18795 to get reminder 721. Add 7 to quotient.
\begin{array}{l}\phantom{2582)}000057\phantom{13}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}18795\\\phantom{2582)}\underline{\phantom{9}18074\phantom{999}}\\\phantom{2582)999}7212\\\end{array}
Use the 7^{th} digit 2 from dividend 147895236
\begin{array}{l}\phantom{2582)}0000572\phantom{14}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}18795\\\phantom{2582)}\underline{\phantom{9}18074\phantom{999}}\\\phantom{2582)999}7212\\\phantom{2582)}\underline{\phantom{999}5164\phantom{99}}\\\phantom{2582)999}2048\\\end{array}
Find closest multiple of 2582 to 7212. We see that 2 \times 2582 = 5164 is the nearest. Now subtract 5164 from 7212 to get reminder 2048. Add 2 to quotient.
\begin{array}{l}\phantom{2582)}0000572\phantom{15}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}18795\\\phantom{2582)}\underline{\phantom{9}18074\phantom{999}}\\\phantom{2582)999}7212\\\phantom{2582)}\underline{\phantom{999}5164\phantom{99}}\\\phantom{2582)999}20483\\\end{array}
Use the 8^{th} digit 3 from dividend 147895236
\begin{array}{l}\phantom{2582)}00005727\phantom{16}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}18795\\\phantom{2582)}\underline{\phantom{9}18074\phantom{999}}\\\phantom{2582)999}7212\\\phantom{2582)}\underline{\phantom{999}5164\phantom{99}}\\\phantom{2582)999}20483\\\phantom{2582)}\underline{\phantom{999}18074\phantom{9}}\\\phantom{2582)9999}2409\\\end{array}
Find closest multiple of 2582 to 20483. We see that 7 \times 2582 = 18074 is the nearest. Now subtract 18074 from 20483 to get reminder 2409. Add 7 to quotient.
\begin{array}{l}\phantom{2582)}00005727\phantom{17}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}18795\\\phantom{2582)}\underline{\phantom{9}18074\phantom{999}}\\\phantom{2582)999}7212\\\phantom{2582)}\underline{\phantom{999}5164\phantom{99}}\\\phantom{2582)999}20483\\\phantom{2582)}\underline{\phantom{999}18074\phantom{9}}\\\phantom{2582)9999}24096\\\end{array}
Use the 9^{th} digit 6 from dividend 147895236
\begin{array}{l}\phantom{2582)}000057279\phantom{18}\\2582\overline{)147895236}\\\phantom{2582)}\underline{\phantom{}12910\phantom{9999}}\\\phantom{2582)9}18795\\\phantom{2582)}\underline{\phantom{9}18074\phantom{999}}\\\phantom{2582)999}7212\\\phantom{2582)}\underline{\phantom{999}5164\phantom{99}}\\\phantom{2582)999}20483\\\phantom{2582)}\underline{\phantom{999}18074\phantom{9}}\\\phantom{2582)9999}24096\\\phantom{2582)}\underline{\phantom{9999}23238\phantom{}}\\\phantom{2582)999999}858\\\end{array}
Find closest multiple of 2582 to 24096. We see that 9 \times 2582 = 23238 is the nearest. Now subtract 23238 from 24096 to get reminder 858. Add 9 to quotient.
\text{Quotient: }57279 \text{Reminder: }858
Since 858 is less than 2582, stop the division. The reminder is 858. The topmost line 000057279 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57279.
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}