Evaluate
\frac{35}{2}=17.5
Factor
\frac{5 \cdot 7}{2} = 17\frac{1}{2} = 17.5
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\begin{array}{l}\phantom{1200)}\phantom{1}\\1200\overline{)21000}\\\end{array}
Use the 1^{st} digit 2 from dividend 21000
\begin{array}{l}\phantom{1200)}0\phantom{2}\\1200\overline{)21000}\\\end{array}
Since 2 is less than 1200, use the next digit 1 from dividend 21000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}0\phantom{3}\\1200\overline{)21000}\\\end{array}
Use the 2^{nd} digit 1 from dividend 21000
\begin{array}{l}\phantom{1200)}00\phantom{4}\\1200\overline{)21000}\\\end{array}
Since 21 is less than 1200, use the next digit 0 from dividend 21000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}00\phantom{5}\\1200\overline{)21000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 21000
\begin{array}{l}\phantom{1200)}000\phantom{6}\\1200\overline{)21000}\\\end{array}
Since 210 is less than 1200, use the next digit 0 from dividend 21000 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}000\phantom{7}\\1200\overline{)21000}\\\end{array}
Use the 4^{th} digit 0 from dividend 21000
\begin{array}{l}\phantom{1200)}0001\phantom{8}\\1200\overline{)21000}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}900\\\end{array}
Find closest multiple of 1200 to 2100. We see that 1 \times 1200 = 1200 is the nearest. Now subtract 1200 from 2100 to get reminder 900. Add 1 to quotient.
\begin{array}{l}\phantom{1200)}0001\phantom{9}\\1200\overline{)21000}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}9000\\\end{array}
Use the 5^{th} digit 0 from dividend 21000
\begin{array}{l}\phantom{1200)}00017\phantom{10}\\1200\overline{)21000}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}9000\\\phantom{1200)}\underline{\phantom{9}8400\phantom{}}\\\phantom{1200)99}600\\\end{array}
Find closest multiple of 1200 to 9000. We see that 7 \times 1200 = 8400 is the nearest. Now subtract 8400 from 9000 to get reminder 600. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }600
Since 600 is less than 1200, stop the division. The reminder is 600. The topmost line 00017 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}