Evaluate
\frac{240}{17}\approx 14.117647059
Factor
\frac{2 ^ {4} \cdot 3 \cdot 5}{17} = 14\frac{2}{17} = 14.117647058823529
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\begin{array}{l}\phantom{85)}\phantom{1}\\85\overline{)1200}\\\end{array}
Use the 1^{st} digit 1 from dividend 1200
\begin{array}{l}\phantom{85)}0\phantom{2}\\85\overline{)1200}\\\end{array}
Since 1 is less than 85, use the next digit 2 from dividend 1200 and add 0 to the quotient
\begin{array}{l}\phantom{85)}0\phantom{3}\\85\overline{)1200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1200
\begin{array}{l}\phantom{85)}00\phantom{4}\\85\overline{)1200}\\\end{array}
Since 12 is less than 85, use the next digit 0 from dividend 1200 and add 0 to the quotient
\begin{array}{l}\phantom{85)}00\phantom{5}\\85\overline{)1200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1200
\begin{array}{l}\phantom{85)}001\phantom{6}\\85\overline{)1200}\\\phantom{85)}\underline{\phantom{9}85\phantom{9}}\\\phantom{85)9}35\\\end{array}
Find closest multiple of 85 to 120. We see that 1 \times 85 = 85 is the nearest. Now subtract 85 from 120 to get reminder 35. Add 1 to quotient.
\begin{array}{l}\phantom{85)}001\phantom{7}\\85\overline{)1200}\\\phantom{85)}\underline{\phantom{9}85\phantom{9}}\\\phantom{85)9}350\\\end{array}
Use the 4^{th} digit 0 from dividend 1200
\begin{array}{l}\phantom{85)}0014\phantom{8}\\85\overline{)1200}\\\phantom{85)}\underline{\phantom{9}85\phantom{9}}\\\phantom{85)9}350\\\phantom{85)}\underline{\phantom{9}340\phantom{}}\\\phantom{85)99}10\\\end{array}
Find closest multiple of 85 to 350. We see that 4 \times 85 = 340 is the nearest. Now subtract 340 from 350 to get reminder 10. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }10
Since 10 is less than 85, stop the division. The reminder is 10. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.
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}