Evaluate
\frac{35781}{284}\approx 125.98943662
Factor
\frac{3 \cdot 11927}{2 ^ {2} \cdot 71} = 125\frac{281}{284} = 125.9894366197183
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\begin{array}{l}\phantom{284)}\phantom{1}\\284\overline{)35781}\\\end{array}
Use the 1^{st} digit 3 from dividend 35781
\begin{array}{l}\phantom{284)}0\phantom{2}\\284\overline{)35781}\\\end{array}
Since 3 is less than 284, use the next digit 5 from dividend 35781 and add 0 to the quotient
\begin{array}{l}\phantom{284)}0\phantom{3}\\284\overline{)35781}\\\end{array}
Use the 2^{nd} digit 5 from dividend 35781
\begin{array}{l}\phantom{284)}00\phantom{4}\\284\overline{)35781}\\\end{array}
Since 35 is less than 284, use the next digit 7 from dividend 35781 and add 0 to the quotient
\begin{array}{l}\phantom{284)}00\phantom{5}\\284\overline{)35781}\\\end{array}
Use the 3^{rd} digit 7 from dividend 35781
\begin{array}{l}\phantom{284)}001\phantom{6}\\284\overline{)35781}\\\phantom{284)}\underline{\phantom{}284\phantom{99}}\\\phantom{284)9}73\\\end{array}
Find closest multiple of 284 to 357. We see that 1 \times 284 = 284 is the nearest. Now subtract 284 from 357 to get reminder 73. Add 1 to quotient.
\begin{array}{l}\phantom{284)}001\phantom{7}\\284\overline{)35781}\\\phantom{284)}\underline{\phantom{}284\phantom{99}}\\\phantom{284)9}738\\\end{array}
Use the 4^{th} digit 8 from dividend 35781
\begin{array}{l}\phantom{284)}0012\phantom{8}\\284\overline{)35781}\\\phantom{284)}\underline{\phantom{}284\phantom{99}}\\\phantom{284)9}738\\\phantom{284)}\underline{\phantom{9}568\phantom{9}}\\\phantom{284)9}170\\\end{array}
Find closest multiple of 284 to 738. We see that 2 \times 284 = 568 is the nearest. Now subtract 568 from 738 to get reminder 170. Add 2 to quotient.
\begin{array}{l}\phantom{284)}0012\phantom{9}\\284\overline{)35781}\\\phantom{284)}\underline{\phantom{}284\phantom{99}}\\\phantom{284)9}738\\\phantom{284)}\underline{\phantom{9}568\phantom{9}}\\\phantom{284)9}1701\\\end{array}
Use the 5^{th} digit 1 from dividend 35781
\begin{array}{l}\phantom{284)}00125\phantom{10}\\284\overline{)35781}\\\phantom{284)}\underline{\phantom{}284\phantom{99}}\\\phantom{284)9}738\\\phantom{284)}\underline{\phantom{9}568\phantom{9}}\\\phantom{284)9}1701\\\phantom{284)}\underline{\phantom{9}1420\phantom{}}\\\phantom{284)99}281\\\end{array}
Find closest multiple of 284 to 1701. We see that 5 \times 284 = 1420 is the nearest. Now subtract 1420 from 1701 to get reminder 281. Add 5 to quotient.
\text{Quotient: }125 \text{Reminder: }281
Since 281 is less than 284, stop the division. The reminder is 281. The topmost line 00125 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 125.
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}