Evaluate
\frac{3939}{5}=787.8
Factor
\frac{3 \cdot 13 \cdot 101}{5} = 787\frac{4}{5} = 787.8
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)7878}\\\end{array}
Use the 1^{st} digit 7 from dividend 7878
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)7878}\\\end{array}
Since 7 is less than 10, use the next digit 8 from dividend 7878 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)7878}\\\end{array}
Use the 2^{nd} digit 8 from dividend 7878
\begin{array}{l}\phantom{10)}07\phantom{4}\\10\overline{)7878}\\\phantom{10)}\underline{\phantom{}70\phantom{99}}\\\phantom{10)9}8\\\end{array}
Find closest multiple of 10 to 78. We see that 7 \times 10 = 70 is the nearest. Now subtract 70 from 78 to get reminder 8. Add 7 to quotient.
\begin{array}{l}\phantom{10)}07\phantom{5}\\10\overline{)7878}\\\phantom{10)}\underline{\phantom{}70\phantom{99}}\\\phantom{10)9}87\\\end{array}
Use the 3^{rd} digit 7 from dividend 7878
\begin{array}{l}\phantom{10)}078\phantom{6}\\10\overline{)7878}\\\phantom{10)}\underline{\phantom{}70\phantom{99}}\\\phantom{10)9}87\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}7\\\end{array}
Find closest multiple of 10 to 87. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 87 to get reminder 7. Add 8 to quotient.
\begin{array}{l}\phantom{10)}078\phantom{7}\\10\overline{)7878}\\\phantom{10)}\underline{\phantom{}70\phantom{99}}\\\phantom{10)9}87\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}78\\\end{array}
Use the 4^{th} digit 8 from dividend 7878
\begin{array}{l}\phantom{10)}0787\phantom{8}\\10\overline{)7878}\\\phantom{10)}\underline{\phantom{}70\phantom{99}}\\\phantom{10)9}87\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}78\\\phantom{10)}\underline{\phantom{99}70\phantom{}}\\\phantom{10)999}8\\\end{array}
Find closest multiple of 10 to 78. We see that 7 \times 10 = 70 is the nearest. Now subtract 70 from 78 to get reminder 8. Add 7 to quotient.
\text{Quotient: }787 \text{Reminder: }8
Since 8 is less than 10, stop the division. The reminder is 8. The topmost line 0787 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 787.
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}