Evaluate
\frac{606}{7}\approx 86.571428571
Factor
\frac{2 \cdot 3 \cdot 101}{7} = 86\frac{4}{7} = 86.57142857142857
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)2424}\\\end{array}
Use the 1^{st} digit 2 from dividend 2424
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)2424}\\\end{array}
Since 2 is less than 28, use the next digit 4 from dividend 2424 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)2424}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2424
\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)2424}\\\end{array}
Since 24 is less than 28, use the next digit 2 from dividend 2424 and add 0 to the quotient
\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)2424}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2424
\begin{array}{l}\phantom{28)}008\phantom{6}\\28\overline{)2424}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)9}18\\\end{array}
Find closest multiple of 28 to 242. We see that 8 \times 28 = 224 is the nearest. Now subtract 224 from 242 to get reminder 18. Add 8 to quotient.
\begin{array}{l}\phantom{28)}008\phantom{7}\\28\overline{)2424}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)9}184\\\end{array}
Use the 4^{th} digit 4 from dividend 2424
\begin{array}{l}\phantom{28)}0086\phantom{8}\\28\overline{)2424}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)9}184\\\phantom{28)}\underline{\phantom{9}168\phantom{}}\\\phantom{28)99}16\\\end{array}
Find closest multiple of 28 to 184. We see that 6 \times 28 = 168 is the nearest. Now subtract 168 from 184 to get reminder 16. Add 6 to quotient.
\text{Quotient: }86 \text{Reminder: }16
Since 16 is less than 28, stop the division. The reminder is 16. The topmost line 0086 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 86.
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}