Evaluate
\frac{800}{7}\approx 114.285714286
Factor
\frac{2 ^ {5} \cdot 5 ^ {2}}{7} = 114\frac{2}{7} = 114.28571428571429
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)4000}\\\end{array}
Use the 1^{st} digit 4 from dividend 4000
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)4000}\\\end{array}
Since 4 is less than 35, use the next digit 0 from dividend 4000 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)4000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 4000
\begin{array}{l}\phantom{35)}01\phantom{4}\\35\overline{)4000}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\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{)4000}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)9}50\\\end{array}
Use the 3^{rd} digit 0 from dividend 4000
\begin{array}{l}\phantom{35)}011\phantom{6}\\35\overline{)4000}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9}}\\\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{)4000}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9}}\\\phantom{35)9}150\\\end{array}
Use the 4^{th} digit 0 from dividend 4000
\begin{array}{l}\phantom{35)}0114\phantom{8}\\35\overline{)4000}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)9}50\\\phantom{35)}\underline{\phantom{9}35\phantom{9}}\\\phantom{35)9}150\\\phantom{35)}\underline{\phantom{9}140\phantom{}}\\\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.
\text{Quotient: }114 \text{Reminder: }10
Since 10 is less than 35, stop the division. The reminder is 10. The topmost line 0114 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 114.
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}