Evaluate
\frac{149}{24}\approx 6.208333333
Factor
\frac{149}{2 ^ {3} \cdot 3} = 6\frac{5}{24} = 6.208333333333333
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)149}\\\end{array}
Use the 1^{st} digit 1 from dividend 149
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)149}\\\end{array}
Since 1 is less than 24, use the next digit 4 from dividend 149 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)149}\\\end{array}
Use the 2^{nd} digit 4 from dividend 149
\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)149}\\\end{array}
Since 14 is less than 24, use the next digit 9 from dividend 149 and add 0 to the quotient
\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)149}\\\end{array}
Use the 3^{rd} digit 9 from dividend 149
\begin{array}{l}\phantom{24)}006\phantom{6}\\24\overline{)149}\\\phantom{24)}\underline{\phantom{}144\phantom{}}\\\phantom{24)99}5\\\end{array}
Find closest multiple of 24 to 149. We see that 6 \times 24 = 144 is the nearest. Now subtract 144 from 149 to get reminder 5. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }5
Since 5 is less than 24, stop the division. The reminder is 5. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}