Evaluate
\frac{9847}{23}\approx 428.130434783
Factor
\frac{43 \cdot 229}{23} = 428\frac{3}{23} = 428.1304347826087
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\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)9847}\\\end{array}
Use the 1^{st} digit 9 from dividend 9847
\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)9847}\\\end{array}
Since 9 is less than 23, use the next digit 8 from dividend 9847 and add 0 to the quotient
\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)9847}\\\end{array}
Use the 2^{nd} digit 8 from dividend 9847
\begin{array}{l}\phantom{23)}04\phantom{4}\\23\overline{)9847}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}6\\\end{array}
Find closest multiple of 23 to 98. We see that 4 \times 23 = 92 is the nearest. Now subtract 92 from 98 to get reminder 6. Add 4 to quotient.
\begin{array}{l}\phantom{23)}04\phantom{5}\\23\overline{)9847}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}64\\\end{array}
Use the 3^{rd} digit 4 from dividend 9847
\begin{array}{l}\phantom{23)}042\phantom{6}\\23\overline{)9847}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}64\\\phantom{23)}\underline{\phantom{9}46\phantom{9}}\\\phantom{23)9}18\\\end{array}
Find closest multiple of 23 to 64. We see that 2 \times 23 = 46 is the nearest. Now subtract 46 from 64 to get reminder 18. Add 2 to quotient.
\begin{array}{l}\phantom{23)}042\phantom{7}\\23\overline{)9847}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}64\\\phantom{23)}\underline{\phantom{9}46\phantom{9}}\\\phantom{23)9}187\\\end{array}
Use the 4^{th} digit 7 from dividend 9847
\begin{array}{l}\phantom{23)}0428\phantom{8}\\23\overline{)9847}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}64\\\phantom{23)}\underline{\phantom{9}46\phantom{9}}\\\phantom{23)9}187\\\phantom{23)}\underline{\phantom{9}184\phantom{}}\\\phantom{23)999}3\\\end{array}
Find closest multiple of 23 to 187. We see that 8 \times 23 = 184 is the nearest. Now subtract 184 from 187 to get reminder 3. Add 8 to quotient.
\text{Quotient: }428 \text{Reminder: }3
Since 3 is less than 23, stop the division. The reminder is 3. The topmost line 0428 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 428.
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}