Evaluate
2026
Factor
2\times 1013
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\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)54702}\\\end{array}
Use the 1^{st} digit 5 from dividend 54702
\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)54702}\\\end{array}
Since 5 is less than 27, use the next digit 4 from dividend 54702 and add 0 to the quotient
\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)54702}\\\end{array}
Use the 2^{nd} digit 4 from dividend 54702
\begin{array}{l}\phantom{27)}02\phantom{4}\\27\overline{)54702}\\\phantom{27)}\underline{\phantom{}54\phantom{999}}\\\phantom{27)99}0\\\end{array}
Find closest multiple of 27 to 54. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 54 to get reminder 0. Add 2 to quotient.
\begin{array}{l}\phantom{27)}02\phantom{5}\\27\overline{)54702}\\\phantom{27)}\underline{\phantom{}54\phantom{999}}\\\phantom{27)99}7\\\end{array}
Use the 3^{rd} digit 7 from dividend 54702
\begin{array}{l}\phantom{27)}020\phantom{6}\\27\overline{)54702}\\\phantom{27)}\underline{\phantom{}54\phantom{999}}\\\phantom{27)99}7\\\end{array}
Since 7 is less than 27, use the next digit 0 from dividend 54702 and add 0 to the quotient
\begin{array}{l}\phantom{27)}020\phantom{7}\\27\overline{)54702}\\\phantom{27)}\underline{\phantom{}54\phantom{999}}\\\phantom{27)99}70\\\end{array}
Use the 4^{th} digit 0 from dividend 54702
\begin{array}{l}\phantom{27)}0202\phantom{8}\\27\overline{)54702}\\\phantom{27)}\underline{\phantom{}54\phantom{999}}\\\phantom{27)99}70\\\phantom{27)}\underline{\phantom{99}54\phantom{9}}\\\phantom{27)99}16\\\end{array}
Find closest multiple of 27 to 70. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 70 to get reminder 16. Add 2 to quotient.
\begin{array}{l}\phantom{27)}0202\phantom{9}\\27\overline{)54702}\\\phantom{27)}\underline{\phantom{}54\phantom{999}}\\\phantom{27)99}70\\\phantom{27)}\underline{\phantom{99}54\phantom{9}}\\\phantom{27)99}162\\\end{array}
Use the 5^{th} digit 2 from dividend 54702
\begin{array}{l}\phantom{27)}02026\phantom{10}\\27\overline{)54702}\\\phantom{27)}\underline{\phantom{}54\phantom{999}}\\\phantom{27)99}70\\\phantom{27)}\underline{\phantom{99}54\phantom{9}}\\\phantom{27)99}162\\\phantom{27)}\underline{\phantom{99}162\phantom{}}\\\phantom{27)99999}0\\\end{array}
Find closest multiple of 27 to 162. We see that 6 \times 27 = 162 is the nearest. Now subtract 162 from 162 to get reminder 0. Add 6 to quotient.
\text{Quotient: }2026 \text{Reminder: }0
Since 0 is less than 27, stop the division. The reminder is 0. The topmost line 02026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2026.
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}