Evaluate
\frac{575}{7}\approx 82.142857143
Factor
\frac{5 ^ {2} \cdot 23}{7} = 82\frac{1}{7} = 82.14285714285714
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)2875}\\\end{array}
Use the 1^{st} digit 2 from dividend 2875
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)2875}\\\end{array}
Since 2 is less than 35, use the next digit 8 from dividend 2875 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)2875}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2875
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)2875}\\\end{array}
Since 28 is less than 35, use the next digit 7 from dividend 2875 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)2875}\\\end{array}
Use the 3^{rd} digit 7 from dividend 2875
\begin{array}{l}\phantom{35)}008\phantom{6}\\35\overline{)2875}\\\phantom{35)}\underline{\phantom{}280\phantom{9}}\\\phantom{35)99}7\\\end{array}
Find closest multiple of 35 to 287. We see that 8 \times 35 = 280 is the nearest. Now subtract 280 from 287 to get reminder 7. Add 8 to quotient.
\begin{array}{l}\phantom{35)}008\phantom{7}\\35\overline{)2875}\\\phantom{35)}\underline{\phantom{}280\phantom{9}}\\\phantom{35)99}75\\\end{array}
Use the 4^{th} digit 5 from dividend 2875
\begin{array}{l}\phantom{35)}0082\phantom{8}\\35\overline{)2875}\\\phantom{35)}\underline{\phantom{}280\phantom{9}}\\\phantom{35)99}75\\\phantom{35)}\underline{\phantom{99}70\phantom{}}\\\phantom{35)999}5\\\end{array}
Find closest multiple of 35 to 75. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 75 to get reminder 5. Add 2 to quotient.
\text{Quotient: }82 \text{Reminder: }5
Since 5 is less than 35, stop the division. The reminder is 5. The topmost line 0082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.
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}