Evaluate
\frac{700}{11}\approx 63.636363636
Factor
\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 7}{11} = 63\frac{7}{11} = 63.63636363636363
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\begin{array}{l}\phantom{550)}\phantom{1}\\550\overline{)35000}\\\end{array}
Use the 1^{st} digit 3 from dividend 35000
\begin{array}{l}\phantom{550)}0\phantom{2}\\550\overline{)35000}\\\end{array}
Since 3 is less than 550, use the next digit 5 from dividend 35000 and add 0 to the quotient
\begin{array}{l}\phantom{550)}0\phantom{3}\\550\overline{)35000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 35000
\begin{array}{l}\phantom{550)}00\phantom{4}\\550\overline{)35000}\\\end{array}
Since 35 is less than 550, use the next digit 0 from dividend 35000 and add 0 to the quotient
\begin{array}{l}\phantom{550)}00\phantom{5}\\550\overline{)35000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 35000
\begin{array}{l}\phantom{550)}000\phantom{6}\\550\overline{)35000}\\\end{array}
Since 350 is less than 550, use the next digit 0 from dividend 35000 and add 0 to the quotient
\begin{array}{l}\phantom{550)}000\phantom{7}\\550\overline{)35000}\\\end{array}
Use the 4^{th} digit 0 from dividend 35000
\begin{array}{l}\phantom{550)}0006\phantom{8}\\550\overline{)35000}\\\phantom{550)}\underline{\phantom{}3300\phantom{9}}\\\phantom{550)9}200\\\end{array}
Find closest multiple of 550 to 3500. We see that 6 \times 550 = 3300 is the nearest. Now subtract 3300 from 3500 to get reminder 200. Add 6 to quotient.
\begin{array}{l}\phantom{550)}0006\phantom{9}\\550\overline{)35000}\\\phantom{550)}\underline{\phantom{}3300\phantom{9}}\\\phantom{550)9}2000\\\end{array}
Use the 5^{th} digit 0 from dividend 35000
\begin{array}{l}\phantom{550)}00063\phantom{10}\\550\overline{)35000}\\\phantom{550)}\underline{\phantom{}3300\phantom{9}}\\\phantom{550)9}2000\\\phantom{550)}\underline{\phantom{9}1650\phantom{}}\\\phantom{550)99}350\\\end{array}
Find closest multiple of 550 to 2000. We see that 3 \times 550 = 1650 is the nearest. Now subtract 1650 from 2000 to get reminder 350. Add 3 to quotient.
\text{Quotient: }63 \text{Reminder: }350
Since 350 is less than 550, stop the division. The reminder is 350. The topmost line 00063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.
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}