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{3600)}\phantom{1}\\3600\overline{)70000}\\\end{array}
Use the 1^{st} digit 7 from dividend 70000
\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)70000}\\\end{array}
Since 7 is less than 3600, use the next digit 0 from dividend 70000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)70000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 70000
\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)70000}\\\end{array}
Since 70 is less than 3600, use the next digit 0 from dividend 70000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)70000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 70000
\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)70000}\\\end{array}
Since 700 is less than 3600, use the next digit 0 from dividend 70000 and add 0 to the quotient
\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)70000}\\\end{array}
Use the 4^{th} digit 0 from dividend 70000
\begin{array}{l}\phantom{3600)}0001\phantom{8}\\3600\overline{)70000}\\\phantom{3600)}\underline{\phantom{}3600\phantom{9}}\\\phantom{3600)}3400\\\end{array}
Find closest multiple of 3600 to 7000. We see that 1 \times 3600 = 3600 is the nearest. Now subtract 3600 from 7000 to get reminder 3400. Add 1 to quotient.
\begin{array}{l}\phantom{3600)}0001\phantom{9}\\3600\overline{)70000}\\\phantom{3600)}\underline{\phantom{}3600\phantom{9}}\\\phantom{3600)}34000\\\end{array}
Use the 5^{th} digit 0 from dividend 70000
\begin{array}{l}\phantom{3600)}00019\phantom{10}\\3600\overline{)70000}\\\phantom{3600)}\underline{\phantom{}3600\phantom{9}}\\\phantom{3600)}34000\\\phantom{3600)}\underline{\phantom{}32400\phantom{}}\\\phantom{3600)9}1600\\\end{array}
Find closest multiple of 3600 to 34000. We see that 9 \times 3600 = 32400 is the nearest. Now subtract 32400 from 34000 to get reminder 1600. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }1600
Since 1600 is less than 3600, stop the division. The reminder is 1600. 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}