Evaluate
17
Factor
17
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\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)6800}\\\end{array}
Use the 1^{st} digit 6 from dividend 6800
\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)6800}\\\end{array}
Since 6 is less than 400, use the next digit 8 from dividend 6800 and add 0 to the quotient
\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)6800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 6800
\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)6800}\\\end{array}
Since 68 is less than 400, use the next digit 0 from dividend 6800 and add 0 to the quotient
\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)6800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 6800
\begin{array}{l}\phantom{400)}001\phantom{6}\\400\overline{)6800}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}280\\\end{array}
Find closest multiple of 400 to 680. We see that 1 \times 400 = 400 is the nearest. Now subtract 400 from 680 to get reminder 280. Add 1 to quotient.
\begin{array}{l}\phantom{400)}001\phantom{7}\\400\overline{)6800}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}2800\\\end{array}
Use the 4^{th} digit 0 from dividend 6800
\begin{array}{l}\phantom{400)}0017\phantom{8}\\400\overline{)6800}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}2800\\\phantom{400)}\underline{\phantom{}2800\phantom{}}\\\phantom{400)9999}0\\\end{array}
Find closest multiple of 400 to 2800. We see that 7 \times 400 = 2800 is the nearest. Now subtract 2800 from 2800 to get reminder 0. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }0
Since 0 is less than 400, stop the division. The reminder is 0. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.
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}