Evaluate
\frac{2219}{90}\approx 24.655555556
Factor
\frac{7 \cdot 317}{2 \cdot 3 ^ {2} \cdot 5} = 24\frac{59}{90} = 24.655555555555555
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\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)8876}\\\end{array}
Use the 1^{st} digit 8 from dividend 8876
\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)8876}\\\end{array}
Since 8 is less than 360, use the next digit 8 from dividend 8876 and add 0 to the quotient
\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)8876}\\\end{array}
Use the 2^{nd} digit 8 from dividend 8876
\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)8876}\\\end{array}
Since 88 is less than 360, use the next digit 7 from dividend 8876 and add 0 to the quotient
\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)8876}\\\end{array}
Use the 3^{rd} digit 7 from dividend 8876
\begin{array}{l}\phantom{360)}002\phantom{6}\\360\overline{)8876}\\\phantom{360)}\underline{\phantom{}720\phantom{9}}\\\phantom{360)}167\\\end{array}
Find closest multiple of 360 to 887. We see that 2 \times 360 = 720 is the nearest. Now subtract 720 from 887 to get reminder 167. Add 2 to quotient.
\begin{array}{l}\phantom{360)}002\phantom{7}\\360\overline{)8876}\\\phantom{360)}\underline{\phantom{}720\phantom{9}}\\\phantom{360)}1676\\\end{array}
Use the 4^{th} digit 6 from dividend 8876
\begin{array}{l}\phantom{360)}0024\phantom{8}\\360\overline{)8876}\\\phantom{360)}\underline{\phantom{}720\phantom{9}}\\\phantom{360)}1676\\\phantom{360)}\underline{\phantom{}1440\phantom{}}\\\phantom{360)9}236\\\end{array}
Find closest multiple of 360 to 1676. We see that 4 \times 360 = 1440 is the nearest. Now subtract 1440 from 1676 to get reminder 236. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }236
Since 236 is less than 360, stop the division. The reminder is 236. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}