Evaluate
\frac{3208}{35}\approx 91.657142857
Factor
\frac{2 ^ {3} \cdot 401}{5 \cdot 7} = 91\frac{23}{35} = 91.65714285714286
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)3208}\\\end{array}
Use the 1^{st} digit 3 from dividend 3208
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)3208}\\\end{array}
Since 3 is less than 35, use the next digit 2 from dividend 3208 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)3208}\\\end{array}
Use the 2^{nd} digit 2 from dividend 3208
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)3208}\\\end{array}
Since 32 is less than 35, use the next digit 0 from dividend 3208 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)3208}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3208
\begin{array}{l}\phantom{35)}009\phantom{6}\\35\overline{)3208}\\\phantom{35)}\underline{\phantom{}315\phantom{9}}\\\phantom{35)99}5\\\end{array}
Find closest multiple of 35 to 320. We see that 9 \times 35 = 315 is the nearest. Now subtract 315 from 320 to get reminder 5. Add 9 to quotient.
\begin{array}{l}\phantom{35)}009\phantom{7}\\35\overline{)3208}\\\phantom{35)}\underline{\phantom{}315\phantom{9}}\\\phantom{35)99}58\\\end{array}
Use the 4^{th} digit 8 from dividend 3208
\begin{array}{l}\phantom{35)}0091\phantom{8}\\35\overline{)3208}\\\phantom{35)}\underline{\phantom{}315\phantom{9}}\\\phantom{35)99}58\\\phantom{35)}\underline{\phantom{99}35\phantom{}}\\\phantom{35)99}23\\\end{array}
Find closest multiple of 35 to 58. We see that 1 \times 35 = 35 is the nearest. Now subtract 35 from 58 to get reminder 23. Add 1 to quotient.
\text{Quotient: }91 \text{Reminder: }23
Since 23 is less than 35, stop the division. The reminder is 23. The topmost line 0091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91.
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}