Evaluate
\frac{1499}{29}\approx 51.689655172
Factor
\frac{1499}{29} = 51\frac{20}{29} = 51.689655172413794
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)1499}\\\end{array}
Use the 1^{st} digit 1 from dividend 1499
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)1499}\\\end{array}
Since 1 is less than 29, use the next digit 4 from dividend 1499 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)1499}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1499
\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)1499}\\\end{array}
Since 14 is less than 29, use the next digit 9 from dividend 1499 and add 0 to the quotient
\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)1499}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1499
\begin{array}{l}\phantom{29)}005\phantom{6}\\29\overline{)1499}\\\phantom{29)}\underline{\phantom{}145\phantom{9}}\\\phantom{29)99}4\\\end{array}
Find closest multiple of 29 to 149. We see that 5 \times 29 = 145 is the nearest. Now subtract 145 from 149 to get reminder 4. Add 5 to quotient.
\begin{array}{l}\phantom{29)}005\phantom{7}\\29\overline{)1499}\\\phantom{29)}\underline{\phantom{}145\phantom{9}}\\\phantom{29)99}49\\\end{array}
Use the 4^{th} digit 9 from dividend 1499
\begin{array}{l}\phantom{29)}0051\phantom{8}\\29\overline{)1499}\\\phantom{29)}\underline{\phantom{}145\phantom{9}}\\\phantom{29)99}49\\\phantom{29)}\underline{\phantom{99}29\phantom{}}\\\phantom{29)99}20\\\end{array}
Find closest multiple of 29 to 49. We see that 1 \times 29 = 29 is the nearest. Now subtract 29 from 49 to get reminder 20. Add 1 to quotient.
\text{Quotient: }51 \text{Reminder: }20
Since 20 is less than 29, stop the division. The reminder is 20. The topmost line 0051 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 51.
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}