Evaluate
\frac{400}{7}\approx 57.142857143
Factor
\frac{2 ^ {4} \cdot 5 ^ {2}}{7} = 57\frac{1}{7} = 57.142857142857146
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\begin{array}{l}\phantom{35000)}\phantom{1}\\35000\overline{)2000000}\\\end{array}
Use the 1^{st} digit 2 from dividend 2000000
\begin{array}{l}\phantom{35000)}0\phantom{2}\\35000\overline{)2000000}\\\end{array}
Since 2 is less than 35000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{35000)}0\phantom{3}\\35000\overline{)2000000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 2000000
\begin{array}{l}\phantom{35000)}00\phantom{4}\\35000\overline{)2000000}\\\end{array}
Since 20 is less than 35000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{35000)}00\phantom{5}\\35000\overline{)2000000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2000000
\begin{array}{l}\phantom{35000)}000\phantom{6}\\35000\overline{)2000000}\\\end{array}
Since 200 is less than 35000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{35000)}000\phantom{7}\\35000\overline{)2000000}\\\end{array}
Use the 4^{th} digit 0 from dividend 2000000
\begin{array}{l}\phantom{35000)}0000\phantom{8}\\35000\overline{)2000000}\\\end{array}
Since 2000 is less than 35000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{35000)}0000\phantom{9}\\35000\overline{)2000000}\\\end{array}
Use the 5^{th} digit 0 from dividend 2000000
\begin{array}{l}\phantom{35000)}00000\phantom{10}\\35000\overline{)2000000}\\\end{array}
Since 20000 is less than 35000, use the next digit 0 from dividend 2000000 and add 0 to the quotient
\begin{array}{l}\phantom{35000)}00000\phantom{11}\\35000\overline{)2000000}\\\end{array}
Use the 6^{th} digit 0 from dividend 2000000
\begin{array}{l}\phantom{35000)}000005\phantom{12}\\35000\overline{)2000000}\\\phantom{35000)}\underline{\phantom{}175000\phantom{9}}\\\phantom{35000)9}25000\\\end{array}
Find closest multiple of 35000 to 200000. We see that 5 \times 35000 = 175000 is the nearest. Now subtract 175000 from 200000 to get reminder 25000. Add 5 to quotient.
\begin{array}{l}\phantom{35000)}000005\phantom{13}\\35000\overline{)2000000}\\\phantom{35000)}\underline{\phantom{}175000\phantom{9}}\\\phantom{35000)9}250000\\\end{array}
Use the 7^{th} digit 0 from dividend 2000000
\begin{array}{l}\phantom{35000)}0000057\phantom{14}\\35000\overline{)2000000}\\\phantom{35000)}\underline{\phantom{}175000\phantom{9}}\\\phantom{35000)9}250000\\\phantom{35000)}\underline{\phantom{9}245000\phantom{}}\\\phantom{35000)999}5000\\\end{array}
Find closest multiple of 35000 to 250000. We see that 7 \times 35000 = 245000 is the nearest. Now subtract 245000 from 250000 to get reminder 5000. Add 7 to quotient.
\text{Quotient: }57 \text{Reminder: }5000
Since 5000 is less than 35000, stop the division. The reminder is 5000. The topmost line 0000057 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57.
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}