Evaluate
\frac{1349}{12}\approx 112.416666667
Factor
\frac{19 \cdot 71}{2 ^ {2} \cdot 3} = 112\frac{5}{12} = 112.41666666666667
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)2698}\\\end{array}
Use the 1^{st} digit 2 from dividend 2698
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)2698}\\\end{array}
Since 2 is less than 24, use the next digit 6 from dividend 2698 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)2698}\\\end{array}
Use the 2^{nd} digit 6 from dividend 2698
\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)2698}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}2\\\end{array}
Find closest multiple of 24 to 26. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 26 to get reminder 2. Add 1 to quotient.
\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)2698}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}29\\\end{array}
Use the 3^{rd} digit 9 from dividend 2698
\begin{array}{l}\phantom{24)}011\phantom{6}\\24\overline{)2698}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}29\\\phantom{24)}\underline{\phantom{9}24\phantom{9}}\\\phantom{24)99}5\\\end{array}
Find closest multiple of 24 to 29. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 29 to get reminder 5. Add 1 to quotient.
\begin{array}{l}\phantom{24)}011\phantom{7}\\24\overline{)2698}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}29\\\phantom{24)}\underline{\phantom{9}24\phantom{9}}\\\phantom{24)99}58\\\end{array}
Use the 4^{th} digit 8 from dividend 2698
\begin{array}{l}\phantom{24)}0112\phantom{8}\\24\overline{)2698}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}29\\\phantom{24)}\underline{\phantom{9}24\phantom{9}}\\\phantom{24)99}58\\\phantom{24)}\underline{\phantom{99}48\phantom{}}\\\phantom{24)99}10\\\end{array}
Find closest multiple of 24 to 58. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 58 to get reminder 10. Add 2 to quotient.
\text{Quotient: }112 \text{Reminder: }10
Since 10 is less than 24, stop the division. The reminder is 10. The topmost line 0112 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 112.
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}