Evaluate
31
Factor
31
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\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)6200}\\\end{array}
Use the 1^{st} digit 6 from dividend 6200
\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)6200}\\\end{array}
Since 6 is less than 200, use the next digit 2 from dividend 6200 and add 0 to the quotient
\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)6200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 6200
\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)6200}\\\end{array}
Since 62 is less than 200, use the next digit 0 from dividend 6200 and add 0 to the quotient
\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)6200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 6200
\begin{array}{l}\phantom{200)}003\phantom{6}\\200\overline{)6200}\\\phantom{200)}\underline{\phantom{}600\phantom{9}}\\\phantom{200)9}20\\\end{array}
Find closest multiple of 200 to 620. We see that 3 \times 200 = 600 is the nearest. Now subtract 600 from 620 to get reminder 20. Add 3 to quotient.
\begin{array}{l}\phantom{200)}003\phantom{7}\\200\overline{)6200}\\\phantom{200)}\underline{\phantom{}600\phantom{9}}\\\phantom{200)9}200\\\end{array}
Use the 4^{th} digit 0 from dividend 6200
\begin{array}{l}\phantom{200)}0031\phantom{8}\\200\overline{)6200}\\\phantom{200)}\underline{\phantom{}600\phantom{9}}\\\phantom{200)9}200\\\phantom{200)}\underline{\phantom{9}200\phantom{}}\\\phantom{200)9999}0\\\end{array}
Find closest multiple of 200 to 200. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 200 to get reminder 0. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }0
Since 0 is less than 200, stop the division. The reminder is 0. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.
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}