Evaluate
\frac{925}{2}=462.5
Factor
\frac{5 ^ {2} \cdot 37}{2} = 462\frac{1}{2} = 462.5
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\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)185000}\\\end{array}
Use the 1^{st} digit 1 from dividend 185000
\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)185000}\\\end{array}
Since 1 is less than 400, use the next digit 8 from dividend 185000 and add 0 to the quotient
\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)185000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 185000
\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)185000}\\\end{array}
Since 18 is less than 400, use the next digit 5 from dividend 185000 and add 0 to the quotient
\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)185000}\\\end{array}
Use the 3^{rd} digit 5 from dividend 185000
\begin{array}{l}\phantom{400)}000\phantom{6}\\400\overline{)185000}\\\end{array}
Since 185 is less than 400, use the next digit 0 from dividend 185000 and add 0 to the quotient
\begin{array}{l}\phantom{400)}000\phantom{7}\\400\overline{)185000}\\\end{array}
Use the 4^{th} digit 0 from dividend 185000
\begin{array}{l}\phantom{400)}0004\phantom{8}\\400\overline{)185000}\\\phantom{400)}\underline{\phantom{}1600\phantom{99}}\\\phantom{400)9}250\\\end{array}
Find closest multiple of 400 to 1850. We see that 4 \times 400 = 1600 is the nearest. Now subtract 1600 from 1850 to get reminder 250. Add 4 to quotient.
\begin{array}{l}\phantom{400)}0004\phantom{9}\\400\overline{)185000}\\\phantom{400)}\underline{\phantom{}1600\phantom{99}}\\\phantom{400)9}2500\\\end{array}
Use the 5^{th} digit 0 from dividend 185000
\begin{array}{l}\phantom{400)}00046\phantom{10}\\400\overline{)185000}\\\phantom{400)}\underline{\phantom{}1600\phantom{99}}\\\phantom{400)9}2500\\\phantom{400)}\underline{\phantom{9}2400\phantom{9}}\\\phantom{400)99}100\\\end{array}
Find closest multiple of 400 to 2500. We see that 6 \times 400 = 2400 is the nearest. Now subtract 2400 from 2500 to get reminder 100. Add 6 to quotient.
\begin{array}{l}\phantom{400)}00046\phantom{11}\\400\overline{)185000}\\\phantom{400)}\underline{\phantom{}1600\phantom{99}}\\\phantom{400)9}2500\\\phantom{400)}\underline{\phantom{9}2400\phantom{9}}\\\phantom{400)99}1000\\\end{array}
Use the 6^{th} digit 0 from dividend 185000
\begin{array}{l}\phantom{400)}000462\phantom{12}\\400\overline{)185000}\\\phantom{400)}\underline{\phantom{}1600\phantom{99}}\\\phantom{400)9}2500\\\phantom{400)}\underline{\phantom{9}2400\phantom{9}}\\\phantom{400)99}1000\\\phantom{400)}\underline{\phantom{999}800\phantom{}}\\\phantom{400)999}200\\\end{array}
Find closest multiple of 400 to 1000. We see that 2 \times 400 = 800 is the nearest. Now subtract 800 from 1000 to get reminder 200. Add 2 to quotient.
\text{Quotient: }462 \text{Reminder: }200
Since 200 is less than 400, stop the division. The reminder is 200. The topmost line 000462 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 462.
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}