Evaluate
\frac{617}{28}\approx 22.035714286
Factor
\frac{617}{2 ^ {2} \cdot 7} = 22\frac{1}{28} = 22.035714285714285
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)1234}\\\end{array}
Use the 1^{st} digit 1 from dividend 1234
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)1234}\\\end{array}
Since 1 is less than 56, use the next digit 2 from dividend 1234 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)1234}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1234
\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)1234}\\\end{array}
Since 12 is less than 56, use the next digit 3 from dividend 1234 and add 0 to the quotient
\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)1234}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1234
\begin{array}{l}\phantom{56)}002\phantom{6}\\56\overline{)1234}\\\phantom{56)}\underline{\phantom{}112\phantom{9}}\\\phantom{56)9}11\\\end{array}
Find closest multiple of 56 to 123. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 123 to get reminder 11. Add 2 to quotient.
\begin{array}{l}\phantom{56)}002\phantom{7}\\56\overline{)1234}\\\phantom{56)}\underline{\phantom{}112\phantom{9}}\\\phantom{56)9}114\\\end{array}
Use the 4^{th} digit 4 from dividend 1234
\begin{array}{l}\phantom{56)}0022\phantom{8}\\56\overline{)1234}\\\phantom{56)}\underline{\phantom{}112\phantom{9}}\\\phantom{56)9}114\\\phantom{56)}\underline{\phantom{9}112\phantom{}}\\\phantom{56)999}2\\\end{array}
Find closest multiple of 56 to 114. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 114 to get reminder 2. Add 2 to quotient.
\text{Quotient: }22 \text{Reminder: }2
Since 2 is less than 56, stop the division. The reminder is 2. The topmost line 0022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.
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}