Evaluate
\frac{16875}{32}=527.34375
Factor
\frac{3 ^ {3} \cdot 5 ^ {4}}{2 ^ {5}} = 527\frac{11}{32} = 527.34375
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\begin{array}{l}\phantom{1048576)}\phantom{1}\\1048576\overline{)552960000}\\\end{array}
Use the 1^{st} digit 5 from dividend 552960000
\begin{array}{l}\phantom{1048576)}0\phantom{2}\\1048576\overline{)552960000}\\\end{array}
Since 5 is less than 1048576, use the next digit 5 from dividend 552960000 and add 0 to the quotient
\begin{array}{l}\phantom{1048576)}0\phantom{3}\\1048576\overline{)552960000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 552960000
\begin{array}{l}\phantom{1048576)}00\phantom{4}\\1048576\overline{)552960000}\\\end{array}
Since 55 is less than 1048576, use the next digit 2 from dividend 552960000 and add 0 to the quotient
\begin{array}{l}\phantom{1048576)}00\phantom{5}\\1048576\overline{)552960000}\\\end{array}
Use the 3^{rd} digit 2 from dividend 552960000
\begin{array}{l}\phantom{1048576)}000\phantom{6}\\1048576\overline{)552960000}\\\end{array}
Since 552 is less than 1048576, use the next digit 9 from dividend 552960000 and add 0 to the quotient
\begin{array}{l}\phantom{1048576)}000\phantom{7}\\1048576\overline{)552960000}\\\end{array}
Use the 4^{th} digit 9 from dividend 552960000
\begin{array}{l}\phantom{1048576)}0000\phantom{8}\\1048576\overline{)552960000}\\\end{array}
Since 5529 is less than 1048576, use the next digit 6 from dividend 552960000 and add 0 to the quotient
\begin{array}{l}\phantom{1048576)}0000\phantom{9}\\1048576\overline{)552960000}\\\end{array}
Use the 5^{th} digit 6 from dividend 552960000
\begin{array}{l}\phantom{1048576)}00000\phantom{10}\\1048576\overline{)552960000}\\\end{array}
Since 55296 is less than 1048576, use the next digit 0 from dividend 552960000 and add 0 to the quotient
\begin{array}{l}\phantom{1048576)}00000\phantom{11}\\1048576\overline{)552960000}\\\end{array}
Use the 6^{th} digit 0 from dividend 552960000
\begin{array}{l}\phantom{1048576)}000000\phantom{12}\\1048576\overline{)552960000}\\\end{array}
Since 552960 is less than 1048576, use the next digit 0 from dividend 552960000 and add 0 to the quotient
\begin{array}{l}\phantom{1048576)}000000\phantom{13}\\1048576\overline{)552960000}\\\end{array}
Use the 7^{th} digit 0 from dividend 552960000
\begin{array}{l}\phantom{1048576)}0000005\phantom{14}\\1048576\overline{)552960000}\\\phantom{1048576)}\underline{\phantom{}5242880\phantom{99}}\\\phantom{1048576)9}286720\\\end{array}
Find closest multiple of 1048576 to 5529600. We see that 5 \times 1048576 = 5242880 is the nearest. Now subtract 5242880 from 5529600 to get reminder 286720. Add 5 to quotient.
\begin{array}{l}\phantom{1048576)}0000005\phantom{15}\\1048576\overline{)552960000}\\\phantom{1048576)}\underline{\phantom{}5242880\phantom{99}}\\\phantom{1048576)9}2867200\\\end{array}
Use the 8^{th} digit 0 from dividend 552960000
\begin{array}{l}\phantom{1048576)}00000052\phantom{16}\\1048576\overline{)552960000}\\\phantom{1048576)}\underline{\phantom{}5242880\phantom{99}}\\\phantom{1048576)9}2867200\\\phantom{1048576)}\underline{\phantom{9}2097152\phantom{9}}\\\phantom{1048576)99}770048\\\end{array}
Find closest multiple of 1048576 to 2867200. We see that 2 \times 1048576 = 2097152 is the nearest. Now subtract 2097152 from 2867200 to get reminder 770048. Add 2 to quotient.
\begin{array}{l}\phantom{1048576)}00000052\phantom{17}\\1048576\overline{)552960000}\\\phantom{1048576)}\underline{\phantom{}5242880\phantom{99}}\\\phantom{1048576)9}2867200\\\phantom{1048576)}\underline{\phantom{9}2097152\phantom{9}}\\\phantom{1048576)99}7700480\\\end{array}
Use the 9^{th} digit 0 from dividend 552960000
\begin{array}{l}\phantom{1048576)}000000527\phantom{18}\\1048576\overline{)552960000}\\\phantom{1048576)}\underline{\phantom{}5242880\phantom{99}}\\\phantom{1048576)9}2867200\\\phantom{1048576)}\underline{\phantom{9}2097152\phantom{9}}\\\phantom{1048576)99}7700480\\\phantom{1048576)}\underline{\phantom{99}7340032\phantom{}}\\\phantom{1048576)999}360448\\\end{array}
Find closest multiple of 1048576 to 7700480. We see that 7 \times 1048576 = 7340032 is the nearest. Now subtract 7340032 from 7700480 to get reminder 360448. Add 7 to quotient.
\text{Quotient: }527 \text{Reminder: }360448
Since 360448 is less than 1048576, stop the division. The reminder is 360448. The topmost line 000000527 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 527.
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}