Evaluate
\frac{550}{7}\approx 78.571428571
Factor
\frac{2 \cdot 5 ^ {2} \cdot 11}{7} = 78\frac{4}{7} = 78.57142857142857
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)2750}\\\end{array}
Use the 1^{st} digit 2 from dividend 2750
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)2750}\\\end{array}
Since 2 is less than 35, use the next digit 7 from dividend 2750 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)2750}\\\end{array}
Use the 2^{nd} digit 7 from dividend 2750
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)2750}\\\end{array}
Since 27 is less than 35, use the next digit 5 from dividend 2750 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)2750}\\\end{array}
Use the 3^{rd} digit 5 from dividend 2750
\begin{array}{l}\phantom{35)}007\phantom{6}\\35\overline{)2750}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)9}30\\\end{array}
Find closest multiple of 35 to 275. We see that 7 \times 35 = 245 is the nearest. Now subtract 245 from 275 to get reminder 30. Add 7 to quotient.
\begin{array}{l}\phantom{35)}007\phantom{7}\\35\overline{)2750}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 2750
\begin{array}{l}\phantom{35)}0078\phantom{8}\\35\overline{)2750}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)9}300\\\phantom{35)}\underline{\phantom{9}280\phantom{}}\\\phantom{35)99}20\\\end{array}
Find closest multiple of 35 to 300. We see that 8 \times 35 = 280 is the nearest. Now subtract 280 from 300 to get reminder 20. Add 8 to quotient.
\text{Quotient: }78 \text{Reminder: }20
Since 20 is less than 35, stop the division. The reminder is 20. The topmost line 0078 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 78.
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}