Evaluate
\frac{3800}{69}\approx 55.072463768
Factor
\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 19}{3 \cdot 23} = 55\frac{5}{69} = 55.072463768115945
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\begin{array}{l}\phantom{690)}\phantom{1}\\690\overline{)38000}\\\end{array}
Use the 1^{st} digit 3 from dividend 38000
\begin{array}{l}\phantom{690)}0\phantom{2}\\690\overline{)38000}\\\end{array}
Since 3 is less than 690, use the next digit 8 from dividend 38000 and add 0 to the quotient
\begin{array}{l}\phantom{690)}0\phantom{3}\\690\overline{)38000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 38000
\begin{array}{l}\phantom{690)}00\phantom{4}\\690\overline{)38000}\\\end{array}
Since 38 is less than 690, use the next digit 0 from dividend 38000 and add 0 to the quotient
\begin{array}{l}\phantom{690)}00\phantom{5}\\690\overline{)38000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 38000
\begin{array}{l}\phantom{690)}000\phantom{6}\\690\overline{)38000}\\\end{array}
Since 380 is less than 690, use the next digit 0 from dividend 38000 and add 0 to the quotient
\begin{array}{l}\phantom{690)}000\phantom{7}\\690\overline{)38000}\\\end{array}
Use the 4^{th} digit 0 from dividend 38000
\begin{array}{l}\phantom{690)}0005\phantom{8}\\690\overline{)38000}\\\phantom{690)}\underline{\phantom{}3450\phantom{9}}\\\phantom{690)9}350\\\end{array}
Find closest multiple of 690 to 3800. We see that 5 \times 690 = 3450 is the nearest. Now subtract 3450 from 3800 to get reminder 350. Add 5 to quotient.
\begin{array}{l}\phantom{690)}0005\phantom{9}\\690\overline{)38000}\\\phantom{690)}\underline{\phantom{}3450\phantom{9}}\\\phantom{690)9}3500\\\end{array}
Use the 5^{th} digit 0 from dividend 38000
\begin{array}{l}\phantom{690)}00055\phantom{10}\\690\overline{)38000}\\\phantom{690)}\underline{\phantom{}3450\phantom{9}}\\\phantom{690)9}3500\\\phantom{690)}\underline{\phantom{9}3450\phantom{}}\\\phantom{690)999}50\\\end{array}
Find closest multiple of 690 to 3500. We see that 5 \times 690 = 3450 is the nearest. Now subtract 3450 from 3500 to get reminder 50. Add 5 to quotient.
\text{Quotient: }55 \text{Reminder: }50
Since 50 is less than 690, stop the division. The reminder is 50. The topmost line 00055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.
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}