Evaluate
56
Factor
2^{3}\times 7
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\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)3080}\\\end{array}
Use the 1^{st} digit 3 from dividend 3080
\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)3080}\\\end{array}
Since 3 is less than 55, use the next digit 0 from dividend 3080 and add 0 to the quotient
\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)3080}\\\end{array}
Use the 2^{nd} digit 0 from dividend 3080
\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)3080}\\\end{array}
Since 30 is less than 55, use the next digit 8 from dividend 3080 and add 0 to the quotient
\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)3080}\\\end{array}
Use the 3^{rd} digit 8 from dividend 3080
\begin{array}{l}\phantom{55)}005\phantom{6}\\55\overline{)3080}\\\phantom{55)}\underline{\phantom{}275\phantom{9}}\\\phantom{55)9}33\\\end{array}
Find closest multiple of 55 to 308. We see that 5 \times 55 = 275 is the nearest. Now subtract 275 from 308 to get reminder 33. Add 5 to quotient.
\begin{array}{l}\phantom{55)}005\phantom{7}\\55\overline{)3080}\\\phantom{55)}\underline{\phantom{}275\phantom{9}}\\\phantom{55)9}330\\\end{array}
Use the 4^{th} digit 0 from dividend 3080
\begin{array}{l}\phantom{55)}0056\phantom{8}\\55\overline{)3080}\\\phantom{55)}\underline{\phantom{}275\phantom{9}}\\\phantom{55)9}330\\\phantom{55)}\underline{\phantom{9}330\phantom{}}\\\phantom{55)9999}0\\\end{array}
Find closest multiple of 55 to 330. We see that 6 \times 55 = 330 is the nearest. Now subtract 330 from 330 to get reminder 0. Add 6 to quotient.
\text{Quotient: }56 \text{Reminder: }0
Since 0 is less than 55, stop the division. The reminder is 0. The topmost line 0056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.
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}