Evaluate
\frac{6373}{133}\approx 47.917293233
Factor
\frac{6373}{7 \cdot 19} = 47\frac{122}{133} = 47.91729323308271
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\begin{array}{l}\phantom{532)}\phantom{1}\\532\overline{)25492}\\\end{array}
Use the 1^{st} digit 2 from dividend 25492
\begin{array}{l}\phantom{532)}0\phantom{2}\\532\overline{)25492}\\\end{array}
Since 2 is less than 532, use the next digit 5 from dividend 25492 and add 0 to the quotient
\begin{array}{l}\phantom{532)}0\phantom{3}\\532\overline{)25492}\\\end{array}
Use the 2^{nd} digit 5 from dividend 25492
\begin{array}{l}\phantom{532)}00\phantom{4}\\532\overline{)25492}\\\end{array}
Since 25 is less than 532, use the next digit 4 from dividend 25492 and add 0 to the quotient
\begin{array}{l}\phantom{532)}00\phantom{5}\\532\overline{)25492}\\\end{array}
Use the 3^{rd} digit 4 from dividend 25492
\begin{array}{l}\phantom{532)}000\phantom{6}\\532\overline{)25492}\\\end{array}
Since 254 is less than 532, use the next digit 9 from dividend 25492 and add 0 to the quotient
\begin{array}{l}\phantom{532)}000\phantom{7}\\532\overline{)25492}\\\end{array}
Use the 4^{th} digit 9 from dividend 25492
\begin{array}{l}\phantom{532)}0004\phantom{8}\\532\overline{)25492}\\\phantom{532)}\underline{\phantom{}2128\phantom{9}}\\\phantom{532)9}421\\\end{array}
Find closest multiple of 532 to 2549. We see that 4 \times 532 = 2128 is the nearest. Now subtract 2128 from 2549 to get reminder 421. Add 4 to quotient.
\begin{array}{l}\phantom{532)}0004\phantom{9}\\532\overline{)25492}\\\phantom{532)}\underline{\phantom{}2128\phantom{9}}\\\phantom{532)9}4212\\\end{array}
Use the 5^{th} digit 2 from dividend 25492
\begin{array}{l}\phantom{532)}00047\phantom{10}\\532\overline{)25492}\\\phantom{532)}\underline{\phantom{}2128\phantom{9}}\\\phantom{532)9}4212\\\phantom{532)}\underline{\phantom{9}3724\phantom{}}\\\phantom{532)99}488\\\end{array}
Find closest multiple of 532 to 4212. We see that 7 \times 532 = 3724 is the nearest. Now subtract 3724 from 4212 to get reminder 488. Add 7 to quotient.
\text{Quotient: }47 \text{Reminder: }488
Since 488 is less than 532, stop the division. The reminder is 488. The topmost line 00047 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 47.
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}