Evaluate
\frac{148}{133}\approx 1.112781955
Factor
\frac{2 ^ {2} \cdot 37}{7 \cdot 19} = 1\frac{15}{133} = 1.112781954887218
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\begin{array}{l}\phantom{1330)}\phantom{1}\\1330\overline{)1480}\\\end{array}
Use the 1^{st} digit 1 from dividend 1480
\begin{array}{l}\phantom{1330)}0\phantom{2}\\1330\overline{)1480}\\\end{array}
Since 1 is less than 1330, use the next digit 4 from dividend 1480 and add 0 to the quotient
\begin{array}{l}\phantom{1330)}0\phantom{3}\\1330\overline{)1480}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1480
\begin{array}{l}\phantom{1330)}00\phantom{4}\\1330\overline{)1480}\\\end{array}
Since 14 is less than 1330, use the next digit 8 from dividend 1480 and add 0 to the quotient
\begin{array}{l}\phantom{1330)}00\phantom{5}\\1330\overline{)1480}\\\end{array}
Use the 3^{rd} digit 8 from dividend 1480
\begin{array}{l}\phantom{1330)}000\phantom{6}\\1330\overline{)1480}\\\end{array}
Since 148 is less than 1330, use the next digit 0 from dividend 1480 and add 0 to the quotient
\begin{array}{l}\phantom{1330)}000\phantom{7}\\1330\overline{)1480}\\\end{array}
Use the 4^{th} digit 0 from dividend 1480
\begin{array}{l}\phantom{1330)}0001\phantom{8}\\1330\overline{)1480}\\\phantom{1330)}\underline{\phantom{}1330\phantom{}}\\\phantom{1330)9}150\\\end{array}
Find closest multiple of 1330 to 1480. We see that 1 \times 1330 = 1330 is the nearest. Now subtract 1330 from 1480 to get reminder 150. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }150
Since 150 is less than 1330, stop the division. The reminder is 150. The topmost line 0001 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}