Evaluate
\frac{187}{50}=3.74
Factor
\frac{11 \cdot 17}{2 \cdot 5 ^ {2}} = 3\frac{37}{50} = 3.74
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\begin{array}{l}\phantom{1000000)}\phantom{1}\\1000000\overline{)3740000}\\\end{array}
Use the 1^{st} digit 3 from dividend 3740000
\begin{array}{l}\phantom{1000000)}0\phantom{2}\\1000000\overline{)3740000}\\\end{array}
Since 3 is less than 1000000, use the next digit 7 from dividend 3740000 and add 0 to the quotient
\begin{array}{l}\phantom{1000000)}0\phantom{3}\\1000000\overline{)3740000}\\\end{array}
Use the 2^{nd} digit 7 from dividend 3740000
\begin{array}{l}\phantom{1000000)}00\phantom{4}\\1000000\overline{)3740000}\\\end{array}
Since 37 is less than 1000000, use the next digit 4 from dividend 3740000 and add 0 to the quotient
\begin{array}{l}\phantom{1000000)}00\phantom{5}\\1000000\overline{)3740000}\\\end{array}
Use the 3^{rd} digit 4 from dividend 3740000
\begin{array}{l}\phantom{1000000)}000\phantom{6}\\1000000\overline{)3740000}\\\end{array}
Since 374 is less than 1000000, use the next digit 0 from dividend 3740000 and add 0 to the quotient
\begin{array}{l}\phantom{1000000)}000\phantom{7}\\1000000\overline{)3740000}\\\end{array}
Use the 4^{th} digit 0 from dividend 3740000
\begin{array}{l}\phantom{1000000)}0000\phantom{8}\\1000000\overline{)3740000}\\\end{array}
Since 3740 is less than 1000000, use the next digit 0 from dividend 3740000 and add 0 to the quotient
\begin{array}{l}\phantom{1000000)}0000\phantom{9}\\1000000\overline{)3740000}\\\end{array}
Use the 5^{th} digit 0 from dividend 3740000
\begin{array}{l}\phantom{1000000)}00000\phantom{10}\\1000000\overline{)3740000}\\\end{array}
Since 37400 is less than 1000000, use the next digit 0 from dividend 3740000 and add 0 to the quotient
\begin{array}{l}\phantom{1000000)}00000\phantom{11}\\1000000\overline{)3740000}\\\end{array}
Use the 6^{th} digit 0 from dividend 3740000
\begin{array}{l}\phantom{1000000)}000000\phantom{12}\\1000000\overline{)3740000}\\\end{array}
Since 374000 is less than 1000000, use the next digit 0 from dividend 3740000 and add 0 to the quotient
\begin{array}{l}\phantom{1000000)}000000\phantom{13}\\1000000\overline{)3740000}\\\end{array}
Use the 7^{th} digit 0 from dividend 3740000
\begin{array}{l}\phantom{1000000)}0000003\phantom{14}\\1000000\overline{)3740000}\\\phantom{1000000)}\underline{\phantom{}3000000\phantom{}}\\\phantom{1000000)9}740000\\\end{array}
Find closest multiple of 1000000 to 3740000. We see that 3 \times 1000000 = 3000000 is the nearest. Now subtract 3000000 from 3740000 to get reminder 740000. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }740000
Since 740000 is less than 1000000, stop the division. The reminder is 740000. The topmost line 0000003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}