Evaluate
\frac{2070}{13}\approx 159.230769231
Factor
\frac{2 \cdot 3 ^ {2} \cdot 5 \cdot 23}{13} = 159\frac{3}{13} = 159.23076923076923
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\begin{array}{l}\phantom{780)}\phantom{1}\\780\overline{)124200}\\\end{array}
Use the 1^{st} digit 1 from dividend 124200
\begin{array}{l}\phantom{780)}0\phantom{2}\\780\overline{)124200}\\\end{array}
Since 1 is less than 780, use the next digit 2 from dividend 124200 and add 0 to the quotient
\begin{array}{l}\phantom{780)}0\phantom{3}\\780\overline{)124200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 124200
\begin{array}{l}\phantom{780)}00\phantom{4}\\780\overline{)124200}\\\end{array}
Since 12 is less than 780, use the next digit 4 from dividend 124200 and add 0 to the quotient
\begin{array}{l}\phantom{780)}00\phantom{5}\\780\overline{)124200}\\\end{array}
Use the 3^{rd} digit 4 from dividend 124200
\begin{array}{l}\phantom{780)}000\phantom{6}\\780\overline{)124200}\\\end{array}
Since 124 is less than 780, use the next digit 2 from dividend 124200 and add 0 to the quotient
\begin{array}{l}\phantom{780)}000\phantom{7}\\780\overline{)124200}\\\end{array}
Use the 4^{th} digit 2 from dividend 124200
\begin{array}{l}\phantom{780)}0001\phantom{8}\\780\overline{)124200}\\\phantom{780)}\underline{\phantom{9}780\phantom{99}}\\\phantom{780)9}462\\\end{array}
Find closest multiple of 780 to 1242. We see that 1 \times 780 = 780 is the nearest. Now subtract 780 from 1242 to get reminder 462. Add 1 to quotient.
\begin{array}{l}\phantom{780)}0001\phantom{9}\\780\overline{)124200}\\\phantom{780)}\underline{\phantom{9}780\phantom{99}}\\\phantom{780)9}4620\\\end{array}
Use the 5^{th} digit 0 from dividend 124200
\begin{array}{l}\phantom{780)}00015\phantom{10}\\780\overline{)124200}\\\phantom{780)}\underline{\phantom{9}780\phantom{99}}\\\phantom{780)9}4620\\\phantom{780)}\underline{\phantom{9}3900\phantom{9}}\\\phantom{780)99}720\\\end{array}
Find closest multiple of 780 to 4620. We see that 5 \times 780 = 3900 is the nearest. Now subtract 3900 from 4620 to get reminder 720. Add 5 to quotient.
\begin{array}{l}\phantom{780)}00015\phantom{11}\\780\overline{)124200}\\\phantom{780)}\underline{\phantom{9}780\phantom{99}}\\\phantom{780)9}4620\\\phantom{780)}\underline{\phantom{9}3900\phantom{9}}\\\phantom{780)99}7200\\\end{array}
Use the 6^{th} digit 0 from dividend 124200
\begin{array}{l}\phantom{780)}000159\phantom{12}\\780\overline{)124200}\\\phantom{780)}\underline{\phantom{9}780\phantom{99}}\\\phantom{780)9}4620\\\phantom{780)}\underline{\phantom{9}3900\phantom{9}}\\\phantom{780)99}7200\\\phantom{780)}\underline{\phantom{99}7020\phantom{}}\\\phantom{780)999}180\\\end{array}
Find closest multiple of 780 to 7200. We see that 9 \times 780 = 7020 is the nearest. Now subtract 7020 from 7200 to get reminder 180. Add 9 to quotient.
\text{Quotient: }159 \text{Reminder: }180
Since 180 is less than 780, stop the division. The reminder is 180. The topmost line 000159 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 159.
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}