Evaluate
\frac{7}{4}=1.75
Factor
\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)56}\\\end{array}
Use the 1^{st} digit 5 from dividend 56
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)56}\\\end{array}
Since 5 is less than 32, use the next digit 6 from dividend 56 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)56}\\\end{array}
Use the 2^{nd} digit 6 from dividend 56
\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)56}\\\phantom{32)}\underline{\phantom{}32\phantom{}}\\\phantom{32)}24\\\end{array}
Find closest multiple of 32 to 56. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 56 to get reminder 24. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }24
Since 24 is less than 32, stop the division. The reminder is 24. 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}