Evaluate
\frac{6800}{91}\approx 74.725274725
Factor
\frac{2 ^ {4} \cdot 5 ^ {2} \cdot 17}{7 \cdot 13} = 74\frac{66}{91} = 74.72527472527473
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\begin{array}{l}\phantom{91)}\phantom{1}\\91\overline{)6800}\\\end{array}
Use the 1^{st} digit 6 from dividend 6800
\begin{array}{l}\phantom{91)}0\phantom{2}\\91\overline{)6800}\\\end{array}
Since 6 is less than 91, use the next digit 8 from dividend 6800 and add 0 to the quotient
\begin{array}{l}\phantom{91)}0\phantom{3}\\91\overline{)6800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 6800
\begin{array}{l}\phantom{91)}00\phantom{4}\\91\overline{)6800}\\\end{array}
Since 68 is less than 91, use the next digit 0 from dividend 6800 and add 0 to the quotient
\begin{array}{l}\phantom{91)}00\phantom{5}\\91\overline{)6800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 6800
\begin{array}{l}\phantom{91)}007\phantom{6}\\91\overline{)6800}\\\phantom{91)}\underline{\phantom{}637\phantom{9}}\\\phantom{91)9}43\\\end{array}
Find closest multiple of 91 to 680. We see that 7 \times 91 = 637 is the nearest. Now subtract 637 from 680 to get reminder 43. Add 7 to quotient.
\begin{array}{l}\phantom{91)}007\phantom{7}\\91\overline{)6800}\\\phantom{91)}\underline{\phantom{}637\phantom{9}}\\\phantom{91)9}430\\\end{array}
Use the 4^{th} digit 0 from dividend 6800
\begin{array}{l}\phantom{91)}0074\phantom{8}\\91\overline{)6800}\\\phantom{91)}\underline{\phantom{}637\phantom{9}}\\\phantom{91)9}430\\\phantom{91)}\underline{\phantom{9}364\phantom{}}\\\phantom{91)99}66\\\end{array}
Find closest multiple of 91 to 430. We see that 4 \times 91 = 364 is the nearest. Now subtract 364 from 430 to get reminder 66. Add 4 to quotient.
\text{Quotient: }74 \text{Reminder: }66
Since 66 is less than 91, stop the division. The reminder is 66. The topmost line 0074 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 74.
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}