Evaluate
\frac{149}{9}\approx 16.555555556
Factor
\frac{149}{3 ^ {2}} = 16\frac{5}{9} = 16.555555555555557
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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)1490}\\\end{array}
Use the 1^{st} digit 1 from dividend 1490
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)1490}\\\end{array}
Since 1 is less than 90, use the next digit 4 from dividend 1490 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)1490}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1490
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)1490}\\\end{array}
Since 14 is less than 90, use the next digit 9 from dividend 1490 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)1490}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1490
\begin{array}{l}\phantom{90)}001\phantom{6}\\90\overline{)1490}\\\phantom{90)}\underline{\phantom{9}90\phantom{9}}\\\phantom{90)9}59\\\end{array}
Find closest multiple of 90 to 149. We see that 1 \times 90 = 90 is the nearest. Now subtract 90 from 149 to get reminder 59. Add 1 to quotient.
\begin{array}{l}\phantom{90)}001\phantom{7}\\90\overline{)1490}\\\phantom{90)}\underline{\phantom{9}90\phantom{9}}\\\phantom{90)9}590\\\end{array}
Use the 4^{th} digit 0 from dividend 1490
\begin{array}{l}\phantom{90)}0016\phantom{8}\\90\overline{)1490}\\\phantom{90)}\underline{\phantom{9}90\phantom{9}}\\\phantom{90)9}590\\\phantom{90)}\underline{\phantom{9}540\phantom{}}\\\phantom{90)99}50\\\end{array}
Find closest multiple of 90 to 590. We see that 6 \times 90 = 540 is the nearest. Now subtract 540 from 590 to get reminder 50. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }50
Since 50 is less than 90, stop the division. The reminder is 50. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}