Evaluate
478
Factor
2\times 239
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)47800}\\\end{array}
Use the 1^{st} digit 4 from dividend 47800
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)47800}\\\end{array}
Since 4 is less than 100, use the next digit 7 from dividend 47800 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)47800}\\\end{array}
Use the 2^{nd} digit 7 from dividend 47800
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)47800}\\\end{array}
Since 47 is less than 100, use the next digit 8 from dividend 47800 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)47800}\\\end{array}
Use the 3^{rd} digit 8 from dividend 47800
\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)47800}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}78\\\end{array}
Find closest multiple of 100 to 478. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 478 to get reminder 78. Add 4 to quotient.
\begin{array}{l}\phantom{100)}004\phantom{7}\\100\overline{)47800}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}780\\\end{array}
Use the 4^{th} digit 0 from dividend 47800
\begin{array}{l}\phantom{100)}0047\phantom{8}\\100\overline{)47800}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}780\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}80\\\end{array}
Find closest multiple of 100 to 780. We see that 7 \times 100 = 700 is the nearest. Now subtract 700 from 780 to get reminder 80. Add 7 to quotient.
\begin{array}{l}\phantom{100)}0047\phantom{9}\\100\overline{)47800}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}780\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}800\\\end{array}
Use the 5^{th} digit 0 from dividend 47800
\begin{array}{l}\phantom{100)}00478\phantom{10}\\100\overline{)47800}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}780\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}800\\\phantom{100)}\underline{\phantom{99}800\phantom{}}\\\phantom{100)99999}0\\\end{array}
Find closest multiple of 100 to 800. We see that 8 \times 100 = 800 is the nearest. Now subtract 800 from 800 to get reminder 0. Add 8 to quotient.
\text{Quotient: }478 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 00478 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 478.
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}