Evaluate
\frac{26300000}{29}\approx 906896.551724138
Factor
\frac{2 ^ {5} \cdot 5 ^ {5} \cdot 263}{29} = 906896\frac{16}{29} = 906896.551724138
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\begin{array}{l}\phantom{87)}\phantom{1}\\87\overline{)78900000}\\\end{array}
Use the 1^{st} digit 7 from dividend 78900000
\begin{array}{l}\phantom{87)}0\phantom{2}\\87\overline{)78900000}\\\end{array}
Since 7 is less than 87, use the next digit 8 from dividend 78900000 and add 0 to the quotient
\begin{array}{l}\phantom{87)}0\phantom{3}\\87\overline{)78900000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 78900000
\begin{array}{l}\phantom{87)}00\phantom{4}\\87\overline{)78900000}\\\end{array}
Since 78 is less than 87, use the next digit 9 from dividend 78900000 and add 0 to the quotient
\begin{array}{l}\phantom{87)}00\phantom{5}\\87\overline{)78900000}\\\end{array}
Use the 3^{rd} digit 9 from dividend 78900000
\begin{array}{l}\phantom{87)}009\phantom{6}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}6\\\end{array}
Find closest multiple of 87 to 789. We see that 9 \times 87 = 783 is the nearest. Now subtract 783 from 789 to get reminder 6. Add 9 to quotient.
\begin{array}{l}\phantom{87)}009\phantom{7}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}60\\\end{array}
Use the 4^{th} digit 0 from dividend 78900000
\begin{array}{l}\phantom{87)}0090\phantom{8}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}60\\\end{array}
Since 60 is less than 87, use the next digit 0 from dividend 78900000 and add 0 to the quotient
\begin{array}{l}\phantom{87)}0090\phantom{9}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}600\\\end{array}
Use the 5^{th} digit 0 from dividend 78900000
\begin{array}{l}\phantom{87)}00906\phantom{10}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}600\\\phantom{87)}\underline{\phantom{99}522\phantom{999}}\\\phantom{87)999}78\\\end{array}
Find closest multiple of 87 to 600. We see that 6 \times 87 = 522 is the nearest. Now subtract 522 from 600 to get reminder 78. Add 6 to quotient.
\begin{array}{l}\phantom{87)}00906\phantom{11}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}600\\\phantom{87)}\underline{\phantom{99}522\phantom{999}}\\\phantom{87)999}780\\\end{array}
Use the 6^{th} digit 0 from dividend 78900000
\begin{array}{l}\phantom{87)}009068\phantom{12}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}600\\\phantom{87)}\underline{\phantom{99}522\phantom{999}}\\\phantom{87)999}780\\\phantom{87)}\underline{\phantom{999}696\phantom{99}}\\\phantom{87)9999}84\\\end{array}
Find closest multiple of 87 to 780. We see that 8 \times 87 = 696 is the nearest. Now subtract 696 from 780 to get reminder 84. Add 8 to quotient.
\begin{array}{l}\phantom{87)}009068\phantom{13}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}600\\\phantom{87)}\underline{\phantom{99}522\phantom{999}}\\\phantom{87)999}780\\\phantom{87)}\underline{\phantom{999}696\phantom{99}}\\\phantom{87)9999}840\\\end{array}
Use the 7^{th} digit 0 from dividend 78900000
\begin{array}{l}\phantom{87)}0090689\phantom{14}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}600\\\phantom{87)}\underline{\phantom{99}522\phantom{999}}\\\phantom{87)999}780\\\phantom{87)}\underline{\phantom{999}696\phantom{99}}\\\phantom{87)9999}840\\\phantom{87)}\underline{\phantom{9999}783\phantom{9}}\\\phantom{87)99999}57\\\end{array}
Find closest multiple of 87 to 840. We see that 9 \times 87 = 783 is the nearest. Now subtract 783 from 840 to get reminder 57. Add 9 to quotient.
\begin{array}{l}\phantom{87)}0090689\phantom{15}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}600\\\phantom{87)}\underline{\phantom{99}522\phantom{999}}\\\phantom{87)999}780\\\phantom{87)}\underline{\phantom{999}696\phantom{99}}\\\phantom{87)9999}840\\\phantom{87)}\underline{\phantom{9999}783\phantom{9}}\\\phantom{87)99999}570\\\end{array}
Use the 8^{th} digit 0 from dividend 78900000
\begin{array}{l}\phantom{87)}00906896\phantom{16}\\87\overline{)78900000}\\\phantom{87)}\underline{\phantom{}783\phantom{99999}}\\\phantom{87)99}600\\\phantom{87)}\underline{\phantom{99}522\phantom{999}}\\\phantom{87)999}780\\\phantom{87)}\underline{\phantom{999}696\phantom{99}}\\\phantom{87)9999}840\\\phantom{87)}\underline{\phantom{9999}783\phantom{9}}\\\phantom{87)99999}570\\\phantom{87)}\underline{\phantom{99999}522\phantom{}}\\\phantom{87)999999}48\\\end{array}
Find closest multiple of 87 to 570. We see that 6 \times 87 = 522 is the nearest. Now subtract 522 from 570 to get reminder 48. Add 6 to quotient.
\text{Quotient: }906896 \text{Reminder: }48
Since 48 is less than 87, stop the division. The reminder is 48. The topmost line 00906896 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 906896.
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}