Evaluate
\frac{37}{28}\approx 1.321428571
Factor
\frac{37}{2 ^ {2} \cdot 7} = 1\frac{9}{28} = 1.3214285714285714
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)74}\\\end{array}
Use the 1^{st} digit 7 from dividend 74
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)74}\\\end{array}
Since 7 is less than 56, use the next digit 4 from dividend 74 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)74}\\\end{array}
Use the 2^{nd} digit 4 from dividend 74
\begin{array}{l}\phantom{56)}01\phantom{4}\\56\overline{)74}\\\phantom{56)}\underline{\phantom{}56\phantom{}}\\\phantom{56)}18\\\end{array}
Find closest multiple of 56 to 74. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 74 to get reminder 18. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }18
Since 18 is less than 56, stop the division. The reminder is 18. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}