Evaluate
16
Factor
2^{4}
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\begin{array}{l}\phantom{41378)}\phantom{1}\\41378\overline{)662048}\\\end{array}
Use the 1^{st} digit 6 from dividend 662048
\begin{array}{l}\phantom{41378)}0\phantom{2}\\41378\overline{)662048}\\\end{array}
Since 6 is less than 41378, use the next digit 6 from dividend 662048 and add 0 to the quotient
\begin{array}{l}\phantom{41378)}0\phantom{3}\\41378\overline{)662048}\\\end{array}
Use the 2^{nd} digit 6 from dividend 662048
\begin{array}{l}\phantom{41378)}00\phantom{4}\\41378\overline{)662048}\\\end{array}
Since 66 is less than 41378, use the next digit 2 from dividend 662048 and add 0 to the quotient
\begin{array}{l}\phantom{41378)}00\phantom{5}\\41378\overline{)662048}\\\end{array}
Use the 3^{rd} digit 2 from dividend 662048
\begin{array}{l}\phantom{41378)}000\phantom{6}\\41378\overline{)662048}\\\end{array}
Since 662 is less than 41378, use the next digit 0 from dividend 662048 and add 0 to the quotient
\begin{array}{l}\phantom{41378)}000\phantom{7}\\41378\overline{)662048}\\\end{array}
Use the 4^{th} digit 0 from dividend 662048
\begin{array}{l}\phantom{41378)}0000\phantom{8}\\41378\overline{)662048}\\\end{array}
Since 6620 is less than 41378, use the next digit 4 from dividend 662048 and add 0 to the quotient
\begin{array}{l}\phantom{41378)}0000\phantom{9}\\41378\overline{)662048}\\\end{array}
Use the 5^{th} digit 4 from dividend 662048
\begin{array}{l}\phantom{41378)}00001\phantom{10}\\41378\overline{)662048}\\\phantom{41378)}\underline{\phantom{}41378\phantom{9}}\\\phantom{41378)}24826\\\end{array}
Find closest multiple of 41378 to 66204. We see that 1 \times 41378 = 41378 is the nearest. Now subtract 41378 from 66204 to get reminder 24826. Add 1 to quotient.
\begin{array}{l}\phantom{41378)}00001\phantom{11}\\41378\overline{)662048}\\\phantom{41378)}\underline{\phantom{}41378\phantom{9}}\\\phantom{41378)}248268\\\end{array}
Use the 6^{th} digit 8 from dividend 662048
\begin{array}{l}\phantom{41378)}000016\phantom{12}\\41378\overline{)662048}\\\phantom{41378)}\underline{\phantom{}41378\phantom{9}}\\\phantom{41378)}248268\\\phantom{41378)}\underline{\phantom{}248268\phantom{}}\\\phantom{41378)999999}0\\\end{array}
Find closest multiple of 41378 to 248268. We see that 6 \times 41378 = 248268 is the nearest. Now subtract 248268 from 248268 to get reminder 0. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }0
Since 0 is less than 41378, stop the division. The reminder is 0. The topmost line 000016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}