Evaluate
\frac{6859}{70}\approx 97.985714286
Factor
\frac{19 ^ {3}}{2 \cdot 5 \cdot 7} = 97\frac{69}{70} = 97.98571428571428
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\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)6859}\\\end{array}
Use the 1^{st} digit 6 from dividend 6859
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)6859}\\\end{array}
Since 6 is less than 70, use the next digit 8 from dividend 6859 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)6859}\\\end{array}
Use the 2^{nd} digit 8 from dividend 6859
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)6859}\\\end{array}
Since 68 is less than 70, use the next digit 5 from dividend 6859 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)6859}\\\end{array}
Use the 3^{rd} digit 5 from dividend 6859
\begin{array}{l}\phantom{70)}009\phantom{6}\\70\overline{)6859}\\\phantom{70)}\underline{\phantom{}630\phantom{9}}\\\phantom{70)9}55\\\end{array}
Find closest multiple of 70 to 685. We see that 9 \times 70 = 630 is the nearest. Now subtract 630 from 685 to get reminder 55. Add 9 to quotient.
\begin{array}{l}\phantom{70)}009\phantom{7}\\70\overline{)6859}\\\phantom{70)}\underline{\phantom{}630\phantom{9}}\\\phantom{70)9}559\\\end{array}
Use the 4^{th} digit 9 from dividend 6859
\begin{array}{l}\phantom{70)}0097\phantom{8}\\70\overline{)6859}\\\phantom{70)}\underline{\phantom{}630\phantom{9}}\\\phantom{70)9}559\\\phantom{70)}\underline{\phantom{9}490\phantom{}}\\\phantom{70)99}69\\\end{array}
Find closest multiple of 70 to 559. We see that 7 \times 70 = 490 is the nearest. Now subtract 490 from 559 to get reminder 69. Add 7 to quotient.
\text{Quotient: }97 \text{Reminder: }69
Since 69 is less than 70, stop the division. The reminder is 69. The topmost line 0097 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 97.
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}