Evaluate
\frac{175}{9}\approx 19.444444444
Factor
\frac{5 ^ {2} \cdot 7}{3 ^ {2}} = 19\frac{4}{9} = 19.444444444444443
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\begin{array}{l}\phantom{1800)}\phantom{1}\\1800\overline{)35000}\\\end{array}
Use the 1^{st} digit 3 from dividend 35000
\begin{array}{l}\phantom{1800)}0\phantom{2}\\1800\overline{)35000}\\\end{array}
Since 3 is less than 1800, use the next digit 5 from dividend 35000 and add 0 to the quotient
\begin{array}{l}\phantom{1800)}0\phantom{3}\\1800\overline{)35000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 35000
\begin{array}{l}\phantom{1800)}00\phantom{4}\\1800\overline{)35000}\\\end{array}
Since 35 is less than 1800, use the next digit 0 from dividend 35000 and add 0 to the quotient
\begin{array}{l}\phantom{1800)}00\phantom{5}\\1800\overline{)35000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 35000
\begin{array}{l}\phantom{1800)}000\phantom{6}\\1800\overline{)35000}\\\end{array}
Since 350 is less than 1800, use the next digit 0 from dividend 35000 and add 0 to the quotient
\begin{array}{l}\phantom{1800)}000\phantom{7}\\1800\overline{)35000}\\\end{array}
Use the 4^{th} digit 0 from dividend 35000
\begin{array}{l}\phantom{1800)}0001\phantom{8}\\1800\overline{)35000}\\\phantom{1800)}\underline{\phantom{}1800\phantom{9}}\\\phantom{1800)}1700\\\end{array}
Find closest multiple of 1800 to 3500. We see that 1 \times 1800 = 1800 is the nearest. Now subtract 1800 from 3500 to get reminder 1700. Add 1 to quotient.
\begin{array}{l}\phantom{1800)}0001\phantom{9}\\1800\overline{)35000}\\\phantom{1800)}\underline{\phantom{}1800\phantom{9}}\\\phantom{1800)}17000\\\end{array}
Use the 5^{th} digit 0 from dividend 35000
\begin{array}{l}\phantom{1800)}00019\phantom{10}\\1800\overline{)35000}\\\phantom{1800)}\underline{\phantom{}1800\phantom{9}}\\\phantom{1800)}17000\\\phantom{1800)}\underline{\phantom{}16200\phantom{}}\\\phantom{1800)99}800\\\end{array}
Find closest multiple of 1800 to 17000. We see that 9 \times 1800 = 16200 is the nearest. Now subtract 16200 from 17000 to get reminder 800. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }800
Since 800 is less than 1800, stop the division. The reminder is 800. The topmost line 00019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.
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}