Evaluate
\frac{3494828}{44553}\approx 78.442035329
Factor
\frac{2 ^ {2} \cdot 873707}{3 \cdot 14851} = 78\frac{19694}{44553} = 78.44203532870962
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\begin{array}{l}\phantom{44553)}\phantom{1}\\44553\overline{)3494828}\\\end{array}
Use the 1^{st} digit 3 from dividend 3494828
\begin{array}{l}\phantom{44553)}0\phantom{2}\\44553\overline{)3494828}\\\end{array}
Since 3 is less than 44553, use the next digit 4 from dividend 3494828 and add 0 to the quotient
\begin{array}{l}\phantom{44553)}0\phantom{3}\\44553\overline{)3494828}\\\end{array}
Use the 2^{nd} digit 4 from dividend 3494828
\begin{array}{l}\phantom{44553)}00\phantom{4}\\44553\overline{)3494828}\\\end{array}
Since 34 is less than 44553, use the next digit 9 from dividend 3494828 and add 0 to the quotient
\begin{array}{l}\phantom{44553)}00\phantom{5}\\44553\overline{)3494828}\\\end{array}
Use the 3^{rd} digit 9 from dividend 3494828
\begin{array}{l}\phantom{44553)}000\phantom{6}\\44553\overline{)3494828}\\\end{array}
Since 349 is less than 44553, use the next digit 4 from dividend 3494828 and add 0 to the quotient
\begin{array}{l}\phantom{44553)}000\phantom{7}\\44553\overline{)3494828}\\\end{array}
Use the 4^{th} digit 4 from dividend 3494828
\begin{array}{l}\phantom{44553)}0000\phantom{8}\\44553\overline{)3494828}\\\end{array}
Since 3494 is less than 44553, use the next digit 8 from dividend 3494828 and add 0 to the quotient
\begin{array}{l}\phantom{44553)}0000\phantom{9}\\44553\overline{)3494828}\\\end{array}
Use the 5^{th} digit 8 from dividend 3494828
\begin{array}{l}\phantom{44553)}00000\phantom{10}\\44553\overline{)3494828}\\\end{array}
Since 34948 is less than 44553, use the next digit 2 from dividend 3494828 and add 0 to the quotient
\begin{array}{l}\phantom{44553)}00000\phantom{11}\\44553\overline{)3494828}\\\end{array}
Use the 6^{th} digit 2 from dividend 3494828
\begin{array}{l}\phantom{44553)}000007\phantom{12}\\44553\overline{)3494828}\\\phantom{44553)}\underline{\phantom{}311871\phantom{9}}\\\phantom{44553)9}37611\\\end{array}
Find closest multiple of 44553 to 349482. We see that 7 \times 44553 = 311871 is the nearest. Now subtract 311871 from 349482 to get reminder 37611. Add 7 to quotient.
\begin{array}{l}\phantom{44553)}000007\phantom{13}\\44553\overline{)3494828}\\\phantom{44553)}\underline{\phantom{}311871\phantom{9}}\\\phantom{44553)9}376118\\\end{array}
Use the 7^{th} digit 8 from dividend 3494828
\begin{array}{l}\phantom{44553)}0000078\phantom{14}\\44553\overline{)3494828}\\\phantom{44553)}\underline{\phantom{}311871\phantom{9}}\\\phantom{44553)9}376118\\\phantom{44553)}\underline{\phantom{9}356424\phantom{}}\\\phantom{44553)99}19694\\\end{array}
Find closest multiple of 44553 to 376118. We see that 8 \times 44553 = 356424 is the nearest. Now subtract 356424 from 376118 to get reminder 19694. Add 8 to quotient.
\text{Quotient: }78 \text{Reminder: }19694
Since 19694 is less than 44553, stop the division. The reminder is 19694. The topmost line 0000078 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 78.
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}