Evaluate
\frac{1837000000}{34571}\approx 53137.022359781
Factor
\frac{2 ^ {6} \cdot 5 ^ {6} \cdot 11 \cdot 167}{181 \cdot 191} = 53137\frac{773}{34571} = 53137.02235978132
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\begin{array}{l}\phantom{34571)}\phantom{1}\\34571\overline{)1837000000}\\\end{array}
Use the 1^{st} digit 1 from dividend 1837000000
\begin{array}{l}\phantom{34571)}0\phantom{2}\\34571\overline{)1837000000}\\\end{array}
Since 1 is less than 34571, use the next digit 8 from dividend 1837000000 and add 0 to the quotient
\begin{array}{l}\phantom{34571)}0\phantom{3}\\34571\overline{)1837000000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 1837000000
\begin{array}{l}\phantom{34571)}00\phantom{4}\\34571\overline{)1837000000}\\\end{array}
Since 18 is less than 34571, use the next digit 3 from dividend 1837000000 and add 0 to the quotient
\begin{array}{l}\phantom{34571)}00\phantom{5}\\34571\overline{)1837000000}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1837000000
\begin{array}{l}\phantom{34571)}000\phantom{6}\\34571\overline{)1837000000}\\\end{array}
Since 183 is less than 34571, use the next digit 7 from dividend 1837000000 and add 0 to the quotient
\begin{array}{l}\phantom{34571)}000\phantom{7}\\34571\overline{)1837000000}\\\end{array}
Use the 4^{th} digit 7 from dividend 1837000000
\begin{array}{l}\phantom{34571)}0000\phantom{8}\\34571\overline{)1837000000}\\\end{array}
Since 1837 is less than 34571, use the next digit 0 from dividend 1837000000 and add 0 to the quotient
\begin{array}{l}\phantom{34571)}0000\phantom{9}\\34571\overline{)1837000000}\\\end{array}
Use the 5^{th} digit 0 from dividend 1837000000
\begin{array}{l}\phantom{34571)}00000\phantom{10}\\34571\overline{)1837000000}\\\end{array}
Since 18370 is less than 34571, use the next digit 0 from dividend 1837000000 and add 0 to the quotient
\begin{array}{l}\phantom{34571)}00000\phantom{11}\\34571\overline{)1837000000}\\\end{array}
Use the 6^{th} digit 0 from dividend 1837000000
\begin{array}{l}\phantom{34571)}000005\phantom{12}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}10845\\\end{array}
Find closest multiple of 34571 to 183700. We see that 5 \times 34571 = 172855 is the nearest. Now subtract 172855 from 183700 to get reminder 10845. Add 5 to quotient.
\begin{array}{l}\phantom{34571)}000005\phantom{13}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}108450\\\end{array}
Use the 7^{th} digit 0 from dividend 1837000000
\begin{array}{l}\phantom{34571)}0000053\phantom{14}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}108450\\\phantom{34571)}\underline{\phantom{9}103713\phantom{999}}\\\phantom{34571)999}4737\\\end{array}
Find closest multiple of 34571 to 108450. We see that 3 \times 34571 = 103713 is the nearest. Now subtract 103713 from 108450 to get reminder 4737. Add 3 to quotient.
\begin{array}{l}\phantom{34571)}0000053\phantom{15}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}108450\\\phantom{34571)}\underline{\phantom{9}103713\phantom{999}}\\\phantom{34571)999}47370\\\end{array}
Use the 8^{th} digit 0 from dividend 1837000000
\begin{array}{l}\phantom{34571)}00000531\phantom{16}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}108450\\\phantom{34571)}\underline{\phantom{9}103713\phantom{999}}\\\phantom{34571)999}47370\\\phantom{34571)}\underline{\phantom{999}34571\phantom{99}}\\\phantom{34571)999}12799\\\end{array}
Find closest multiple of 34571 to 47370. We see that 1 \times 34571 = 34571 is the nearest. Now subtract 34571 from 47370 to get reminder 12799. Add 1 to quotient.
\begin{array}{l}\phantom{34571)}00000531\phantom{17}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}108450\\\phantom{34571)}\underline{\phantom{9}103713\phantom{999}}\\\phantom{34571)999}47370\\\phantom{34571)}\underline{\phantom{999}34571\phantom{99}}\\\phantom{34571)999}127990\\\end{array}
Use the 9^{th} digit 0 from dividend 1837000000
\begin{array}{l}\phantom{34571)}000005313\phantom{18}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}108450\\\phantom{34571)}\underline{\phantom{9}103713\phantom{999}}\\\phantom{34571)999}47370\\\phantom{34571)}\underline{\phantom{999}34571\phantom{99}}\\\phantom{34571)999}127990\\\phantom{34571)}\underline{\phantom{999}103713\phantom{9}}\\\phantom{34571)9999}24277\\\end{array}
Find closest multiple of 34571 to 127990. We see that 3 \times 34571 = 103713 is the nearest. Now subtract 103713 from 127990 to get reminder 24277. Add 3 to quotient.
\begin{array}{l}\phantom{34571)}000005313\phantom{19}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}108450\\\phantom{34571)}\underline{\phantom{9}103713\phantom{999}}\\\phantom{34571)999}47370\\\phantom{34571)}\underline{\phantom{999}34571\phantom{99}}\\\phantom{34571)999}127990\\\phantom{34571)}\underline{\phantom{999}103713\phantom{9}}\\\phantom{34571)9999}242770\\\end{array}
Use the 10^{th} digit 0 from dividend 1837000000
\begin{array}{l}\phantom{34571)}0000053137\phantom{20}\\34571\overline{)1837000000}\\\phantom{34571)}\underline{\phantom{}172855\phantom{9999}}\\\phantom{34571)9}108450\\\phantom{34571)}\underline{\phantom{9}103713\phantom{999}}\\\phantom{34571)999}47370\\\phantom{34571)}\underline{\phantom{999}34571\phantom{99}}\\\phantom{34571)999}127990\\\phantom{34571)}\underline{\phantom{999}103713\phantom{9}}\\\phantom{34571)9999}242770\\\phantom{34571)}\underline{\phantom{9999}241997\phantom{}}\\\phantom{34571)9999999}773\\\end{array}
Find closest multiple of 34571 to 242770. We see that 7 \times 34571 = 241997 is the nearest. Now subtract 241997 from 242770 to get reminder 773. Add 7 to quotient.
\text{Quotient: }53137 \text{Reminder: }773
Since 773 is less than 34571, stop the division. The reminder is 773. The topmost line 0000053137 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53137.
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}