Evaluate
\frac{1227}{14}\approx 87.642857143
Factor
\frac{3 \cdot 409}{2 \cdot 7} = 87\frac{9}{14} = 87.64285714285714
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)2454}\\\end{array}
Use the 1^{st} digit 2 from dividend 2454
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)2454}\\\end{array}
Since 2 is less than 28, use the next digit 4 from dividend 2454 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)2454}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2454
\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)2454}\\\end{array}
Since 24 is less than 28, use the next digit 5 from dividend 2454 and add 0 to the quotient
\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)2454}\\\end{array}
Use the 3^{rd} digit 5 from dividend 2454
\begin{array}{l}\phantom{28)}008\phantom{6}\\28\overline{)2454}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)9}21\\\end{array}
Find closest multiple of 28 to 245. We see that 8 \times 28 = 224 is the nearest. Now subtract 224 from 245 to get reminder 21. Add 8 to quotient.
\begin{array}{l}\phantom{28)}008\phantom{7}\\28\overline{)2454}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)9}214\\\end{array}
Use the 4^{th} digit 4 from dividend 2454
\begin{array}{l}\phantom{28)}0087\phantom{8}\\28\overline{)2454}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)9}214\\\phantom{28)}\underline{\phantom{9}196\phantom{}}\\\phantom{28)99}18\\\end{array}
Find closest multiple of 28 to 214. We see that 7 \times 28 = 196 is the nearest. Now subtract 196 from 214 to get reminder 18. Add 7 to quotient.
\text{Quotient: }87 \text{Reminder: }18
Since 18 is less than 28, stop the division. The reminder is 18. The topmost line 0087 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 87.
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}