Evaluate
\frac{2879}{15}\approx 191.933333333
Factor
\frac{2879}{3 \cdot 5} = 191\frac{14}{15} = 191.93333333333334
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)2879}\\\end{array}
Use the 1^{st} digit 2 from dividend 2879
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)2879}\\\end{array}
Since 2 is less than 15, use the next digit 8 from dividend 2879 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)2879}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2879
\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)2879}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}13\\\end{array}
Find closest multiple of 15 to 28. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 28 to get reminder 13. Add 1 to quotient.
\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)2879}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}137\\\end{array}
Use the 3^{rd} digit 7 from dividend 2879
\begin{array}{l}\phantom{15)}019\phantom{6}\\15\overline{)2879}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}137\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}2\\\end{array}
Find closest multiple of 15 to 137. We see that 9 \times 15 = 135 is the nearest. Now subtract 135 from 137 to get reminder 2. Add 9 to quotient.
\begin{array}{l}\phantom{15)}019\phantom{7}\\15\overline{)2879}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}137\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}29\\\end{array}
Use the 4^{th} digit 9 from dividend 2879
\begin{array}{l}\phantom{15)}0191\phantom{8}\\15\overline{)2879}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}137\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}29\\\phantom{15)}\underline{\phantom{99}15\phantom{}}\\\phantom{15)99}14\\\end{array}
Find closest multiple of 15 to 29. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 29 to get reminder 14. Add 1 to quotient.
\text{Quotient: }191 \text{Reminder: }14
Since 14 is less than 15, stop the division. The reminder is 14. The topmost line 0191 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 191.
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}