Evaluate
\frac{8329}{8}=1041.125
Factor
\frac{8329}{2 ^ {3}} = 1041\frac{1}{8} = 1041.125
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)58303}\\\end{array}
Use the 1^{st} digit 5 from dividend 58303
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)58303}\\\end{array}
Since 5 is less than 56, use the next digit 8 from dividend 58303 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)58303}\\\end{array}
Use the 2^{nd} digit 8 from dividend 58303
\begin{array}{l}\phantom{56)}01\phantom{4}\\56\overline{)58303}\\\phantom{56)}\underline{\phantom{}56\phantom{999}}\\\phantom{56)9}2\\\end{array}
Find closest multiple of 56 to 58. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 58 to get reminder 2. Add 1 to quotient.
\begin{array}{l}\phantom{56)}01\phantom{5}\\56\overline{)58303}\\\phantom{56)}\underline{\phantom{}56\phantom{999}}\\\phantom{56)9}23\\\end{array}
Use the 3^{rd} digit 3 from dividend 58303
\begin{array}{l}\phantom{56)}010\phantom{6}\\56\overline{)58303}\\\phantom{56)}\underline{\phantom{}56\phantom{999}}\\\phantom{56)9}23\\\end{array}
Since 23 is less than 56, use the next digit 0 from dividend 58303 and add 0 to the quotient
\begin{array}{l}\phantom{56)}010\phantom{7}\\56\overline{)58303}\\\phantom{56)}\underline{\phantom{}56\phantom{999}}\\\phantom{56)9}230\\\end{array}
Use the 4^{th} digit 0 from dividend 58303
\begin{array}{l}\phantom{56)}0104\phantom{8}\\56\overline{)58303}\\\phantom{56)}\underline{\phantom{}56\phantom{999}}\\\phantom{56)9}230\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)999}6\\\end{array}
Find closest multiple of 56 to 230. We see that 4 \times 56 = 224 is the nearest. Now subtract 224 from 230 to get reminder 6. Add 4 to quotient.
\begin{array}{l}\phantom{56)}0104\phantom{9}\\56\overline{)58303}\\\phantom{56)}\underline{\phantom{}56\phantom{999}}\\\phantom{56)9}230\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)999}63\\\end{array}
Use the 5^{th} digit 3 from dividend 58303
\begin{array}{l}\phantom{56)}01041\phantom{10}\\56\overline{)58303}\\\phantom{56)}\underline{\phantom{}56\phantom{999}}\\\phantom{56)9}230\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)999}63\\\phantom{56)}\underline{\phantom{999}56\phantom{}}\\\phantom{56)9999}7\\\end{array}
Find closest multiple of 56 to 63. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 63 to get reminder 7. Add 1 to quotient.
\text{Quotient: }1041 \text{Reminder: }7
Since 7 is less than 56, stop the division. The reminder is 7. The topmost line 01041 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1041.
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}