Evaluate
\frac{5924200}{7}\approx 846314.285714286
Factor
\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 19 \cdot 1559}{7} = 846314\frac{2}{7} = 846314.2857142857
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\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)53317800}\\\end{array}
Use the 1^{st} digit 5 from dividend 53317800
\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)53317800}\\\end{array}
Since 5 is less than 63, use the next digit 3 from dividend 53317800 and add 0 to the quotient
\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)53317800}\\\end{array}
Use the 2^{nd} digit 3 from dividend 53317800
\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)53317800}\\\end{array}
Since 53 is less than 63, use the next digit 3 from dividend 53317800 and add 0 to the quotient
\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)53317800}\\\end{array}
Use the 3^{rd} digit 3 from dividend 53317800
\begin{array}{l}\phantom{63)}008\phantom{6}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}29\\\end{array}
Find closest multiple of 63 to 533. We see that 8 \times 63 = 504 is the nearest. Now subtract 504 from 533 to get reminder 29. Add 8 to quotient.
\begin{array}{l}\phantom{63)}008\phantom{7}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\end{array}
Use the 4^{th} digit 1 from dividend 53317800
\begin{array}{l}\phantom{63)}0084\phantom{8}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}39\\\end{array}
Find closest multiple of 63 to 291. We see that 4 \times 63 = 252 is the nearest. Now subtract 252 from 291 to get reminder 39. Add 4 to quotient.
\begin{array}{l}\phantom{63)}0084\phantom{9}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}397\\\end{array}
Use the 5^{th} digit 7 from dividend 53317800
\begin{array}{l}\phantom{63)}00846\phantom{10}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}397\\\phantom{63)}\underline{\phantom{99}378\phantom{999}}\\\phantom{63)999}19\\\end{array}
Find closest multiple of 63 to 397. We see that 6 \times 63 = 378 is the nearest. Now subtract 378 from 397 to get reminder 19. Add 6 to quotient.
\begin{array}{l}\phantom{63)}00846\phantom{11}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}397\\\phantom{63)}\underline{\phantom{99}378\phantom{999}}\\\phantom{63)999}198\\\end{array}
Use the 6^{th} digit 8 from dividend 53317800
\begin{array}{l}\phantom{63)}008463\phantom{12}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}397\\\phantom{63)}\underline{\phantom{99}378\phantom{999}}\\\phantom{63)999}198\\\phantom{63)}\underline{\phantom{999}189\phantom{99}}\\\phantom{63)99999}9\\\end{array}
Find closest multiple of 63 to 198. We see that 3 \times 63 = 189 is the nearest. Now subtract 189 from 198 to get reminder 9. Add 3 to quotient.
\begin{array}{l}\phantom{63)}008463\phantom{13}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}397\\\phantom{63)}\underline{\phantom{99}378\phantom{999}}\\\phantom{63)999}198\\\phantom{63)}\underline{\phantom{999}189\phantom{99}}\\\phantom{63)99999}90\\\end{array}
Use the 7^{th} digit 0 from dividend 53317800
\begin{array}{l}\phantom{63)}0084631\phantom{14}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}397\\\phantom{63)}\underline{\phantom{99}378\phantom{999}}\\\phantom{63)999}198\\\phantom{63)}\underline{\phantom{999}189\phantom{99}}\\\phantom{63)99999}90\\\phantom{63)}\underline{\phantom{99999}63\phantom{9}}\\\phantom{63)99999}27\\\end{array}
Find closest multiple of 63 to 90. We see that 1 \times 63 = 63 is the nearest. Now subtract 63 from 90 to get reminder 27. Add 1 to quotient.
\begin{array}{l}\phantom{63)}0084631\phantom{15}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}397\\\phantom{63)}\underline{\phantom{99}378\phantom{999}}\\\phantom{63)999}198\\\phantom{63)}\underline{\phantom{999}189\phantom{99}}\\\phantom{63)99999}90\\\phantom{63)}\underline{\phantom{99999}63\phantom{9}}\\\phantom{63)99999}270\\\end{array}
Use the 8^{th} digit 0 from dividend 53317800
\begin{array}{l}\phantom{63)}00846314\phantom{16}\\63\overline{)53317800}\\\phantom{63)}\underline{\phantom{}504\phantom{99999}}\\\phantom{63)9}291\\\phantom{63)}\underline{\phantom{9}252\phantom{9999}}\\\phantom{63)99}397\\\phantom{63)}\underline{\phantom{99}378\phantom{999}}\\\phantom{63)999}198\\\phantom{63)}\underline{\phantom{999}189\phantom{99}}\\\phantom{63)99999}90\\\phantom{63)}\underline{\phantom{99999}63\phantom{9}}\\\phantom{63)99999}270\\\phantom{63)}\underline{\phantom{99999}252\phantom{}}\\\phantom{63)999999}18\\\end{array}
Find closest multiple of 63 to 270. We see that 4 \times 63 = 252 is the nearest. Now subtract 252 from 270 to get reminder 18. Add 4 to quotient.
\text{Quotient: }846314 \text{Reminder: }18
Since 18 is less than 63, stop the division. The reminder is 18. The topmost line 00846314 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 846314.
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}