Evaluate
\frac{1423}{14}\approx 101.642857143
Factor
\frac{1423}{2 \cdot 7} = 101\frac{9}{14} = 101.64285714285714
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)5692}\\\end{array}
Use the 1^{st} digit 5 from dividend 5692
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)5692}\\\end{array}
Since 5 is less than 56, use the next digit 6 from dividend 5692 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)5692}\\\end{array}
Use the 2^{nd} digit 6 from dividend 5692
\begin{array}{l}\phantom{56)}01\phantom{4}\\56\overline{)5692}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)99}0\\\end{array}
Find closest multiple of 56 to 56. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 56 to get reminder 0. Add 1 to quotient.
\begin{array}{l}\phantom{56)}01\phantom{5}\\56\overline{)5692}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)99}9\\\end{array}
Use the 3^{rd} digit 9 from dividend 5692
\begin{array}{l}\phantom{56)}010\phantom{6}\\56\overline{)5692}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)99}9\\\end{array}
Since 9 is less than 56, use the next digit 2 from dividend 5692 and add 0 to the quotient
\begin{array}{l}\phantom{56)}010\phantom{7}\\56\overline{)5692}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)99}92\\\end{array}
Use the 4^{th} digit 2 from dividend 5692
\begin{array}{l}\phantom{56)}0101\phantom{8}\\56\overline{)5692}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)99}92\\\phantom{56)}\underline{\phantom{99}56\phantom{}}\\\phantom{56)99}36\\\end{array}
Find closest multiple of 56 to 92. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 92 to get reminder 36. Add 1 to quotient.
\text{Quotient: }101 \text{Reminder: }36
Since 36 is less than 56, stop the division. The reminder is 36. The topmost line 0101 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 101.
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}