Evaluate
\frac{485}{32}=15.15625
Factor
\frac{5 \cdot 97}{2 ^ {5}} = 15\frac{5}{32} = 15.15625
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)485}\\\end{array}
Use the 1^{st} digit 4 from dividend 485
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)485}\\\end{array}
Since 4 is less than 32, use the next digit 8 from dividend 485 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)485}\\\end{array}
Use the 2^{nd} digit 8 from dividend 485
\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)485}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}16\\\end{array}
Find closest multiple of 32 to 48. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 48 to get reminder 16. Add 1 to quotient.
\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)485}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}165\\\end{array}
Use the 3^{rd} digit 5 from dividend 485
\begin{array}{l}\phantom{32)}015\phantom{6}\\32\overline{)485}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}165\\\phantom{32)}\underline{\phantom{}160\phantom{}}\\\phantom{32)99}5\\\end{array}
Find closest multiple of 32 to 165. We see that 5 \times 32 = 160 is the nearest. Now subtract 160 from 165 to get reminder 5. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }5
Since 5 is less than 32, stop the division. The reminder is 5. The topmost line 015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}