Evaluate
\frac{800000}{7}\approx 114285.714285714
Factor
\frac{2 ^ {8} \cdot 5 ^ {5}}{7} = 114285\frac{5}{7} = 114285.71428571429
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)4000000}\\\end{array}
Use the 1^{st} digit 4 from dividend 4000000
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)4000000}\\\end{array}
Since 4 is less than 35, use the next digit 0 from dividend 4000000 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)4000000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 4000000
\begin{array}{l}\phantom{35)}01\phantom{4}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}5\\\end{array}
Find closest multiple of 35 to 40. We see that 1 \times 35 = 35 is the nearest. Now subtract 35 from 40 to get reminder 5. Add 1 to quotient.
\begin{array}{l}\phantom{35)}01\phantom{5}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\end{array}
Use the 3^{rd} digit 0 from dividend 4000000
\begin{array}{l}\phantom{35)}011\phantom{6}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}15\\\end{array}
Find closest multiple of 35 to 50. We see that 1 \times 35 = 35 is the nearest. Now subtract 35 from 50 to get reminder 15. Add 1 to quotient.
\begin{array}{l}\phantom{35)}011\phantom{7}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}150\\\end{array}
Use the 4^{th} digit 0 from dividend 4000000
\begin{array}{l}\phantom{35)}0114\phantom{8}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}150\\\phantom{35)}\underline{\phantom{9}140\phantom{999}}\\\phantom{35)99}10\\\end{array}
Find closest multiple of 35 to 150. We see that 4 \times 35 = 140 is the nearest. Now subtract 140 from 150 to get reminder 10. Add 4 to quotient.
\begin{array}{l}\phantom{35)}0114\phantom{9}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}150\\\phantom{35)}\underline{\phantom{9}140\phantom{999}}\\\phantom{35)99}100\\\end{array}
Use the 5^{th} digit 0 from dividend 4000000
\begin{array}{l}\phantom{35)}01142\phantom{10}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}150\\\phantom{35)}\underline{\phantom{9}140\phantom{999}}\\\phantom{35)99}100\\\phantom{35)}\underline{\phantom{999}70\phantom{99}}\\\phantom{35)999}30\\\end{array}
Find closest multiple of 35 to 100. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 100 to get reminder 30. Add 2 to quotient.
\begin{array}{l}\phantom{35)}01142\phantom{11}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}150\\\phantom{35)}\underline{\phantom{9}140\phantom{999}}\\\phantom{35)99}100\\\phantom{35)}\underline{\phantom{999}70\phantom{99}}\\\phantom{35)999}300\\\end{array}
Use the 6^{th} digit 0 from dividend 4000000
\begin{array}{l}\phantom{35)}011428\phantom{12}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}150\\\phantom{35)}\underline{\phantom{9}140\phantom{999}}\\\phantom{35)99}100\\\phantom{35)}\underline{\phantom{999}70\phantom{99}}\\\phantom{35)999}300\\\phantom{35)}\underline{\phantom{999}280\phantom{9}}\\\phantom{35)9999}20\\\end{array}
Find closest multiple of 35 to 300. We see that 8 \times 35 = 280 is the nearest. Now subtract 280 from 300 to get reminder 20. Add 8 to quotient.
\begin{array}{l}\phantom{35)}011428\phantom{13}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}150\\\phantom{35)}\underline{\phantom{9}140\phantom{999}}\\\phantom{35)99}100\\\phantom{35)}\underline{\phantom{999}70\phantom{99}}\\\phantom{35)999}300\\\phantom{35)}\underline{\phantom{999}280\phantom{9}}\\\phantom{35)9999}200\\\end{array}
Use the 7^{th} digit 0 from dividend 4000000
\begin{array}{l}\phantom{35)}0114285\phantom{14}\\35\overline{)4000000}\\\phantom{35)}\underline{\phantom{}35\phantom{99999}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9999}}\\\phantom{35)9}150\\\phantom{35)}\underline{\phantom{9}140\phantom{999}}\\\phantom{35)99}100\\\phantom{35)}\underline{\phantom{999}70\phantom{99}}\\\phantom{35)999}300\\\phantom{35)}\underline{\phantom{999}280\phantom{9}}\\\phantom{35)9999}200\\\phantom{35)}\underline{\phantom{9999}175\phantom{}}\\\phantom{35)99999}25\\\end{array}
Find closest multiple of 35 to 200. We see that 5 \times 35 = 175 is the nearest. Now subtract 175 from 200 to get reminder 25. Add 5 to quotient.
\text{Quotient: }114285 \text{Reminder: }25
Since 25 is less than 35, stop the division. The reminder is 25. The topmost line 0114285 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 114285.
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}