Evaluate
35
Factor
5\times 7
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\begin{array}{l}\phantom{800)}\phantom{1}\\800\overline{)28000}\\\end{array}
Use the 1^{st} digit 2 from dividend 28000
\begin{array}{l}\phantom{800)}0\phantom{2}\\800\overline{)28000}\\\end{array}
Since 2 is less than 800, use the next digit 8 from dividend 28000 and add 0 to the quotient
\begin{array}{l}\phantom{800)}0\phantom{3}\\800\overline{)28000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 28000
\begin{array}{l}\phantom{800)}00\phantom{4}\\800\overline{)28000}\\\end{array}
Since 28 is less than 800, use the next digit 0 from dividend 28000 and add 0 to the quotient
\begin{array}{l}\phantom{800)}00\phantom{5}\\800\overline{)28000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 28000
\begin{array}{l}\phantom{800)}000\phantom{6}\\800\overline{)28000}\\\end{array}
Since 280 is less than 800, use the next digit 0 from dividend 28000 and add 0 to the quotient
\begin{array}{l}\phantom{800)}000\phantom{7}\\800\overline{)28000}\\\end{array}
Use the 4^{th} digit 0 from dividend 28000
\begin{array}{l}\phantom{800)}0003\phantom{8}\\800\overline{)28000}\\\phantom{800)}\underline{\phantom{}2400\phantom{9}}\\\phantom{800)9}400\\\end{array}
Find closest multiple of 800 to 2800. We see that 3 \times 800 = 2400 is the nearest. Now subtract 2400 from 2800 to get reminder 400. Add 3 to quotient.
\begin{array}{l}\phantom{800)}0003\phantom{9}\\800\overline{)28000}\\\phantom{800)}\underline{\phantom{}2400\phantom{9}}\\\phantom{800)9}4000\\\end{array}
Use the 5^{th} digit 0 from dividend 28000
\begin{array}{l}\phantom{800)}00035\phantom{10}\\800\overline{)28000}\\\phantom{800)}\underline{\phantom{}2400\phantom{9}}\\\phantom{800)9}4000\\\phantom{800)}\underline{\phantom{9}4000\phantom{}}\\\phantom{800)99999}0\\\end{array}
Find closest multiple of 800 to 4000. We see that 5 \times 800 = 4000 is the nearest. Now subtract 4000 from 4000 to get reminder 0. Add 5 to quotient.
\text{Quotient: }35 \text{Reminder: }0
Since 0 is less than 800, stop the division. The reminder is 0. The topmost line 00035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.
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}