Evaluate
\frac{652}{407}\approx 1.601965602
Factor
\frac{2 ^ {2} \cdot 163}{11 \cdot 37} = 1\frac{245}{407} = 1.601965601965602
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\begin{array}{l}\phantom{407)}\phantom{1}\\407\overline{)652}\\\end{array}
Use the 1^{st} digit 6 from dividend 652
\begin{array}{l}\phantom{407)}0\phantom{2}\\407\overline{)652}\\\end{array}
Since 6 is less than 407, use the next digit 5 from dividend 652 and add 0 to the quotient
\begin{array}{l}\phantom{407)}0\phantom{3}\\407\overline{)652}\\\end{array}
Use the 2^{nd} digit 5 from dividend 652
\begin{array}{l}\phantom{407)}00\phantom{4}\\407\overline{)652}\\\end{array}
Since 65 is less than 407, use the next digit 2 from dividend 652 and add 0 to the quotient
\begin{array}{l}\phantom{407)}00\phantom{5}\\407\overline{)652}\\\end{array}
Use the 3^{rd} digit 2 from dividend 652
\begin{array}{l}\phantom{407)}001\phantom{6}\\407\overline{)652}\\\phantom{407)}\underline{\phantom{}407\phantom{}}\\\phantom{407)}245\\\end{array}
Find closest multiple of 407 to 652. We see that 1 \times 407 = 407 is the nearest. Now subtract 407 from 652 to get reminder 245. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }245
Since 245 is less than 407, stop the division. The reminder is 245. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
Examples
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{ 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}