Evaluate
428
Factor
2^{2}\times 107
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\begin{array}{l}\phantom{14700)}\phantom{1}\\14700\overline{)6291600}\\\end{array}
Use the 1^{st} digit 6 from dividend 6291600
\begin{array}{l}\phantom{14700)}0\phantom{2}\\14700\overline{)6291600}\\\end{array}
Since 6 is less than 14700, use the next digit 2 from dividend 6291600 and add 0 to the quotient
\begin{array}{l}\phantom{14700)}0\phantom{3}\\14700\overline{)6291600}\\\end{array}
Use the 2^{nd} digit 2 from dividend 6291600
\begin{array}{l}\phantom{14700)}00\phantom{4}\\14700\overline{)6291600}\\\end{array}
Since 62 is less than 14700, use the next digit 9 from dividend 6291600 and add 0 to the quotient
\begin{array}{l}\phantom{14700)}00\phantom{5}\\14700\overline{)6291600}\\\end{array}
Use the 3^{rd} digit 9 from dividend 6291600
\begin{array}{l}\phantom{14700)}000\phantom{6}\\14700\overline{)6291600}\\\end{array}
Since 629 is less than 14700, use the next digit 1 from dividend 6291600 and add 0 to the quotient
\begin{array}{l}\phantom{14700)}000\phantom{7}\\14700\overline{)6291600}\\\end{array}
Use the 4^{th} digit 1 from dividend 6291600
\begin{array}{l}\phantom{14700)}0000\phantom{8}\\14700\overline{)6291600}\\\end{array}
Since 6291 is less than 14700, use the next digit 6 from dividend 6291600 and add 0 to the quotient
\begin{array}{l}\phantom{14700)}0000\phantom{9}\\14700\overline{)6291600}\\\end{array}
Use the 5^{th} digit 6 from dividend 6291600
\begin{array}{l}\phantom{14700)}00004\phantom{10}\\14700\overline{)6291600}\\\phantom{14700)}\underline{\phantom{}58800\phantom{99}}\\\phantom{14700)9}4116\\\end{array}
Find closest multiple of 14700 to 62916. We see that 4 \times 14700 = 58800 is the nearest. Now subtract 58800 from 62916 to get reminder 4116. Add 4 to quotient.
\begin{array}{l}\phantom{14700)}00004\phantom{11}\\14700\overline{)6291600}\\\phantom{14700)}\underline{\phantom{}58800\phantom{99}}\\\phantom{14700)9}41160\\\end{array}
Use the 6^{th} digit 0 from dividend 6291600
\begin{array}{l}\phantom{14700)}000042\phantom{12}\\14700\overline{)6291600}\\\phantom{14700)}\underline{\phantom{}58800\phantom{99}}\\\phantom{14700)9}41160\\\phantom{14700)}\underline{\phantom{9}29400\phantom{9}}\\\phantom{14700)9}11760\\\end{array}
Find closest multiple of 14700 to 41160. We see that 2 \times 14700 = 29400 is the nearest. Now subtract 29400 from 41160 to get reminder 11760. Add 2 to quotient.
\begin{array}{l}\phantom{14700)}000042\phantom{13}\\14700\overline{)6291600}\\\phantom{14700)}\underline{\phantom{}58800\phantom{99}}\\\phantom{14700)9}41160\\\phantom{14700)}\underline{\phantom{9}29400\phantom{9}}\\\phantom{14700)9}117600\\\end{array}
Use the 7^{th} digit 0 from dividend 6291600
\begin{array}{l}\phantom{14700)}0000428\phantom{14}\\14700\overline{)6291600}\\\phantom{14700)}\underline{\phantom{}58800\phantom{99}}\\\phantom{14700)9}41160\\\phantom{14700)}\underline{\phantom{9}29400\phantom{9}}\\\phantom{14700)9}117600\\\phantom{14700)}\underline{\phantom{9}117600\phantom{}}\\\phantom{14700)9999999}0\\\end{array}
Find closest multiple of 14700 to 117600. We see that 8 \times 14700 = 117600 is the nearest. Now subtract 117600 from 117600 to get reminder 0. Add 8 to quotient.
\text{Quotient: }428 \text{Reminder: }0
Since 0 is less than 14700, stop the division. The reminder is 0. The topmost line 0000428 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 428.
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}