Evaluate
\frac{440011438}{5}=88002287.6
Factor
\frac{2 \cdot 673 \cdot 326903}{5} = 88002287\frac{3}{5} = 88002287.6
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)880022876}\\\end{array}
Use the 1^{st} digit 8 from dividend 880022876
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)880022876}\\\end{array}
Since 8 is less than 10, use the next digit 8 from dividend 880022876 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)880022876}\\\end{array}
Use the 2^{nd} digit 8 from dividend 880022876
\begin{array}{l}\phantom{10)}08\phantom{4}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}8\\\end{array}
Find closest multiple of 10 to 88. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 88 to get reminder 8. Add 8 to quotient.
\begin{array}{l}\phantom{10)}08\phantom{5}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\end{array}
Use the 3^{rd} digit 0 from dividend 880022876
\begin{array}{l}\phantom{10)}088\phantom{6}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)999}0\\\end{array}
Find closest multiple of 10 to 80. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 80 to get reminder 0. Add 8 to quotient.
\begin{array}{l}\phantom{10)}088\phantom{7}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}0\\\end{array}
Use the 4^{th} digit 0 from dividend 880022876
\begin{array}{l}\phantom{10)}0880\phantom{8}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}0\\\end{array}
Since 0 is less than 10, use the next digit 2 from dividend 880022876 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0880\phantom{9}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}2\\\end{array}
Use the 5^{th} digit 2 from dividend 880022876
\begin{array}{l}\phantom{10)}08800\phantom{10}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}2\\\end{array}
Since 2 is less than 10, use the next digit 2 from dividend 880022876 and add 0 to the quotient
\begin{array}{l}\phantom{10)}08800\phantom{11}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}22\\\end{array}
Use the 6^{th} digit 2 from dividend 880022876
\begin{array}{l}\phantom{10)}088002\phantom{12}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}22\\\phantom{10)}\underline{\phantom{9999}20\phantom{999}}\\\phantom{10)99999}2\\\end{array}
Find closest multiple of 10 to 22. We see that 2 \times 10 = 20 is the nearest. Now subtract 20 from 22 to get reminder 2. Add 2 to quotient.
\begin{array}{l}\phantom{10)}088002\phantom{13}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}22\\\phantom{10)}\underline{\phantom{9999}20\phantom{999}}\\\phantom{10)99999}28\\\end{array}
Use the 7^{th} digit 8 from dividend 880022876
\begin{array}{l}\phantom{10)}0880022\phantom{14}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}22\\\phantom{10)}\underline{\phantom{9999}20\phantom{999}}\\\phantom{10)99999}28\\\phantom{10)}\underline{\phantom{99999}20\phantom{99}}\\\phantom{10)999999}8\\\end{array}
Find closest multiple of 10 to 28. We see that 2 \times 10 = 20 is the nearest. Now subtract 20 from 28 to get reminder 8. Add 2 to quotient.
\begin{array}{l}\phantom{10)}0880022\phantom{15}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}22\\\phantom{10)}\underline{\phantom{9999}20\phantom{999}}\\\phantom{10)99999}28\\\phantom{10)}\underline{\phantom{99999}20\phantom{99}}\\\phantom{10)999999}87\\\end{array}
Use the 8^{th} digit 7 from dividend 880022876
\begin{array}{l}\phantom{10)}08800228\phantom{16}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}22\\\phantom{10)}\underline{\phantom{9999}20\phantom{999}}\\\phantom{10)99999}28\\\phantom{10)}\underline{\phantom{99999}20\phantom{99}}\\\phantom{10)999999}87\\\phantom{10)}\underline{\phantom{999999}80\phantom{9}}\\\phantom{10)9999999}7\\\end{array}
Find closest multiple of 10 to 87. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 87 to get reminder 7. Add 8 to quotient.
\begin{array}{l}\phantom{10)}08800228\phantom{17}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}22\\\phantom{10)}\underline{\phantom{9999}20\phantom{999}}\\\phantom{10)99999}28\\\phantom{10)}\underline{\phantom{99999}20\phantom{99}}\\\phantom{10)999999}87\\\phantom{10)}\underline{\phantom{999999}80\phantom{9}}\\\phantom{10)9999999}76\\\end{array}
Use the 9^{th} digit 6 from dividend 880022876
\begin{array}{l}\phantom{10)}088002287\phantom{18}\\10\overline{)880022876}\\\phantom{10)}\underline{\phantom{}80\phantom{9999999}}\\\phantom{10)9}80\\\phantom{10)}\underline{\phantom{9}80\phantom{999999}}\\\phantom{10)9999}22\\\phantom{10)}\underline{\phantom{9999}20\phantom{999}}\\\phantom{10)99999}28\\\phantom{10)}\underline{\phantom{99999}20\phantom{99}}\\\phantom{10)999999}87\\\phantom{10)}\underline{\phantom{999999}80\phantom{9}}\\\phantom{10)9999999}76\\\phantom{10)}\underline{\phantom{9999999}70\phantom{}}\\\phantom{10)99999999}6\\\end{array}
Find closest multiple of 10 to 76. We see that 7 \times 10 = 70 is the nearest. Now subtract 70 from 76 to get reminder 6. Add 7 to quotient.
\text{Quotient: }88002287 \text{Reminder: }6
Since 6 is less than 10, stop the division. The reminder is 6. The topmost line 088002287 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 88002287.
Examples
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{ 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}