Evaluate
\frac{1032}{13}\approx 79.384615385
Factor
\frac{2 ^ {3} \cdot 3 \cdot 43}{13} = 79\frac{5}{13} = 79.38461538461539
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\begin{array}{l}\phantom{260)}\phantom{1}\\260\overline{)20640}\\\end{array}
Use the 1^{st} digit 2 from dividend 20640
\begin{array}{l}\phantom{260)}0\phantom{2}\\260\overline{)20640}\\\end{array}
Since 2 is less than 260, use the next digit 0 from dividend 20640 and add 0 to the quotient
\begin{array}{l}\phantom{260)}0\phantom{3}\\260\overline{)20640}\\\end{array}
Use the 2^{nd} digit 0 from dividend 20640
\begin{array}{l}\phantom{260)}00\phantom{4}\\260\overline{)20640}\\\end{array}
Since 20 is less than 260, use the next digit 6 from dividend 20640 and add 0 to the quotient
\begin{array}{l}\phantom{260)}00\phantom{5}\\260\overline{)20640}\\\end{array}
Use the 3^{rd} digit 6 from dividend 20640
\begin{array}{l}\phantom{260)}000\phantom{6}\\260\overline{)20640}\\\end{array}
Since 206 is less than 260, use the next digit 4 from dividend 20640 and add 0 to the quotient
\begin{array}{l}\phantom{260)}000\phantom{7}\\260\overline{)20640}\\\end{array}
Use the 4^{th} digit 4 from dividend 20640
\begin{array}{l}\phantom{260)}0007\phantom{8}\\260\overline{)20640}\\\phantom{260)}\underline{\phantom{}1820\phantom{9}}\\\phantom{260)9}244\\\end{array}
Find closest multiple of 260 to 2064. We see that 7 \times 260 = 1820 is the nearest. Now subtract 1820 from 2064 to get reminder 244. Add 7 to quotient.
\begin{array}{l}\phantom{260)}0007\phantom{9}\\260\overline{)20640}\\\phantom{260)}\underline{\phantom{}1820\phantom{9}}\\\phantom{260)9}2440\\\end{array}
Use the 5^{th} digit 0 from dividend 20640
\begin{array}{l}\phantom{260)}00079\phantom{10}\\260\overline{)20640}\\\phantom{260)}\underline{\phantom{}1820\phantom{9}}\\\phantom{260)9}2440\\\phantom{260)}\underline{\phantom{9}2340\phantom{}}\\\phantom{260)99}100\\\end{array}
Find closest multiple of 260 to 2440. We see that 9 \times 260 = 2340 is the nearest. Now subtract 2340 from 2440 to get reminder 100. Add 9 to quotient.
\text{Quotient: }79 \text{Reminder: }100
Since 100 is less than 260, stop the division. The reminder is 100. The topmost line 00079 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 79.
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}