Evaluate
\frac{5350741}{32356}\approx 165.370904933
Factor
\frac{11 ^ {2} \cdot 44221}{2 ^ {2} \cdot 8089} = 165\frac{12001}{32356} = 165.37090493262454
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\begin{array}{l}\phantom{64712)}\phantom{1}\\64712\overline{)10701482}\\\end{array}
Use the 1^{st} digit 1 from dividend 10701482
\begin{array}{l}\phantom{64712)}0\phantom{2}\\64712\overline{)10701482}\\\end{array}
Since 1 is less than 64712, use the next digit 0 from dividend 10701482 and add 0 to the quotient
\begin{array}{l}\phantom{64712)}0\phantom{3}\\64712\overline{)10701482}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10701482
\begin{array}{l}\phantom{64712)}00\phantom{4}\\64712\overline{)10701482}\\\end{array}
Since 10 is less than 64712, use the next digit 7 from dividend 10701482 and add 0 to the quotient
\begin{array}{l}\phantom{64712)}00\phantom{5}\\64712\overline{)10701482}\\\end{array}
Use the 3^{rd} digit 7 from dividend 10701482
\begin{array}{l}\phantom{64712)}000\phantom{6}\\64712\overline{)10701482}\\\end{array}
Since 107 is less than 64712, use the next digit 0 from dividend 10701482 and add 0 to the quotient
\begin{array}{l}\phantom{64712)}000\phantom{7}\\64712\overline{)10701482}\\\end{array}
Use the 4^{th} digit 0 from dividend 10701482
\begin{array}{l}\phantom{64712)}0000\phantom{8}\\64712\overline{)10701482}\\\end{array}
Since 1070 is less than 64712, use the next digit 1 from dividend 10701482 and add 0 to the quotient
\begin{array}{l}\phantom{64712)}0000\phantom{9}\\64712\overline{)10701482}\\\end{array}
Use the 5^{th} digit 1 from dividend 10701482
\begin{array}{l}\phantom{64712)}00000\phantom{10}\\64712\overline{)10701482}\\\end{array}
Since 10701 is less than 64712, use the next digit 4 from dividend 10701482 and add 0 to the quotient
\begin{array}{l}\phantom{64712)}00000\phantom{11}\\64712\overline{)10701482}\\\end{array}
Use the 6^{th} digit 4 from dividend 10701482
\begin{array}{l}\phantom{64712)}000001\phantom{12}\\64712\overline{)10701482}\\\phantom{64712)}\underline{\phantom{9}64712\phantom{99}}\\\phantom{64712)9}42302\\\end{array}
Find closest multiple of 64712 to 107014. We see that 1 \times 64712 = 64712 is the nearest. Now subtract 64712 from 107014 to get reminder 42302. Add 1 to quotient.
\begin{array}{l}\phantom{64712)}000001\phantom{13}\\64712\overline{)10701482}\\\phantom{64712)}\underline{\phantom{9}64712\phantom{99}}\\\phantom{64712)9}423028\\\end{array}
Use the 7^{th} digit 8 from dividend 10701482
\begin{array}{l}\phantom{64712)}0000016\phantom{14}\\64712\overline{)10701482}\\\phantom{64712)}\underline{\phantom{9}64712\phantom{99}}\\\phantom{64712)9}423028\\\phantom{64712)}\underline{\phantom{9}388272\phantom{9}}\\\phantom{64712)99}34756\\\end{array}
Find closest multiple of 64712 to 423028. We see that 6 \times 64712 = 388272 is the nearest. Now subtract 388272 from 423028 to get reminder 34756. Add 6 to quotient.
\begin{array}{l}\phantom{64712)}0000016\phantom{15}\\64712\overline{)10701482}\\\phantom{64712)}\underline{\phantom{9}64712\phantom{99}}\\\phantom{64712)9}423028\\\phantom{64712)}\underline{\phantom{9}388272\phantom{9}}\\\phantom{64712)99}347562\\\end{array}
Use the 8^{th} digit 2 from dividend 10701482
\begin{array}{l}\phantom{64712)}00000165\phantom{16}\\64712\overline{)10701482}\\\phantom{64712)}\underline{\phantom{9}64712\phantom{99}}\\\phantom{64712)9}423028\\\phantom{64712)}\underline{\phantom{9}388272\phantom{9}}\\\phantom{64712)99}347562\\\phantom{64712)}\underline{\phantom{99}323560\phantom{}}\\\phantom{64712)999}24002\\\end{array}
Find closest multiple of 64712 to 347562. We see that 5 \times 64712 = 323560 is the nearest. Now subtract 323560 from 347562 to get reminder 24002. Add 5 to quotient.
\text{Quotient: }165 \text{Reminder: }24002
Since 24002 is less than 64712, stop the division. The reminder is 24002. The topmost line 00000165 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 165.
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}