Evaluate
\frac{56786}{23}\approx 2468.956521739
Factor
\frac{2 \cdot 28393}{23} = 2468\frac{22}{23} = 2468.9565217391305
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\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)56786}\\\end{array}
Use the 1^{st} digit 5 from dividend 56786
\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)56786}\\\end{array}
Since 5 is less than 23, use the next digit 6 from dividend 56786 and add 0 to the quotient
\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)56786}\\\end{array}
Use the 2^{nd} digit 6 from dividend 56786
\begin{array}{l}\phantom{23)}02\phantom{4}\\23\overline{)56786}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}10\\\end{array}
Find closest multiple of 23 to 56. We see that 2 \times 23 = 46 is the nearest. Now subtract 46 from 56 to get reminder 10. Add 2 to quotient.
\begin{array}{l}\phantom{23)}02\phantom{5}\\23\overline{)56786}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}107\\\end{array}
Use the 3^{rd} digit 7 from dividend 56786
\begin{array}{l}\phantom{23)}024\phantom{6}\\23\overline{)56786}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}107\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}15\\\end{array}
Find closest multiple of 23 to 107. We see that 4 \times 23 = 92 is the nearest. Now subtract 92 from 107 to get reminder 15. Add 4 to quotient.
\begin{array}{l}\phantom{23)}024\phantom{7}\\23\overline{)56786}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}107\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}158\\\end{array}
Use the 4^{th} digit 8 from dividend 56786
\begin{array}{l}\phantom{23)}0246\phantom{8}\\23\overline{)56786}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}107\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}158\\\phantom{23)}\underline{\phantom{9}138\phantom{9}}\\\phantom{23)99}20\\\end{array}
Find closest multiple of 23 to 158. We see that 6 \times 23 = 138 is the nearest. Now subtract 138 from 158 to get reminder 20. Add 6 to quotient.
\begin{array}{l}\phantom{23)}0246\phantom{9}\\23\overline{)56786}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}107\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}158\\\phantom{23)}\underline{\phantom{9}138\phantom{9}}\\\phantom{23)99}206\\\end{array}
Use the 5^{th} digit 6 from dividend 56786
\begin{array}{l}\phantom{23)}02468\phantom{10}\\23\overline{)56786}\\\phantom{23)}\underline{\phantom{}46\phantom{999}}\\\phantom{23)}107\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}158\\\phantom{23)}\underline{\phantom{9}138\phantom{9}}\\\phantom{23)99}206\\\phantom{23)}\underline{\phantom{99}184\phantom{}}\\\phantom{23)999}22\\\end{array}
Find closest multiple of 23 to 206. We see that 8 \times 23 = 184 is the nearest. Now subtract 184 from 206 to get reminder 22. Add 8 to quotient.
\text{Quotient: }2468 \text{Reminder: }22
Since 22 is less than 23, stop the division. The reminder is 22. The topmost line 02468 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2468.
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}