Evaluate
4625
Factor
5^{3}\times 37
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)55500}\\\end{array}
Use the 1^{st} digit 5 from dividend 55500
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)55500}\\\end{array}
Since 5 is less than 12, use the next digit 5 from dividend 55500 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)55500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 55500
\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)55500}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}7\\\end{array}
Find closest multiple of 12 to 55. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 55 to get reminder 7. Add 4 to quotient.
\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)55500}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}75\\\end{array}
Use the 3^{rd} digit 5 from dividend 55500
\begin{array}{l}\phantom{12)}046\phantom{6}\\12\overline{)55500}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{99}}\\\phantom{12)99}3\\\end{array}
Find closest multiple of 12 to 75. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 75 to get reminder 3. Add 6 to quotient.
\begin{array}{l}\phantom{12)}046\phantom{7}\\12\overline{)55500}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{99}}\\\phantom{12)99}30\\\end{array}
Use the 4^{th} digit 0 from dividend 55500
\begin{array}{l}\phantom{12)}0462\phantom{8}\\12\overline{)55500}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{99}}\\\phantom{12)99}30\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}6\\\end{array}
Find closest multiple of 12 to 30. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 30 to get reminder 6. Add 2 to quotient.
\begin{array}{l}\phantom{12)}0462\phantom{9}\\12\overline{)55500}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{99}}\\\phantom{12)99}30\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}60\\\end{array}
Use the 5^{th} digit 0 from dividend 55500
\begin{array}{l}\phantom{12)}04625\phantom{10}\\12\overline{)55500}\\\phantom{12)}\underline{\phantom{}48\phantom{999}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{99}}\\\phantom{12)99}30\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}60\\\phantom{12)}\underline{\phantom{999}60\phantom{}}\\\phantom{12)99999}0\\\end{array}
Find closest multiple of 12 to 60. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 60 to get reminder 0. Add 5 to quotient.
\text{Quotient: }4625 \text{Reminder: }0
Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 04625 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4625.
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}