Evaluate
\frac{622}{7}\approx 88.857142857
Factor
\frac{2 \cdot 311}{7} = 88\frac{6}{7} = 88.85714285714286
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)3110}\\\end{array}
Use the 1^{st} digit 3 from dividend 3110
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)3110}\\\end{array}
Since 3 is less than 35, use the next digit 1 from dividend 3110 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)3110}\\\end{array}
Use the 2^{nd} digit 1 from dividend 3110
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)3110}\\\end{array}
Since 31 is less than 35, use the next digit 1 from dividend 3110 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)3110}\\\end{array}
Use the 3^{rd} digit 1 from dividend 3110
\begin{array}{l}\phantom{35)}008\phantom{6}\\35\overline{)3110}\\\phantom{35)}\underline{\phantom{}280\phantom{9}}\\\phantom{35)9}31\\\end{array}
Find closest multiple of 35 to 311. We see that 8 \times 35 = 280 is the nearest. Now subtract 280 from 311 to get reminder 31. Add 8 to quotient.
\begin{array}{l}\phantom{35)}008\phantom{7}\\35\overline{)3110}\\\phantom{35)}\underline{\phantom{}280\phantom{9}}\\\phantom{35)9}310\\\end{array}
Use the 4^{th} digit 0 from dividend 3110
\begin{array}{l}\phantom{35)}0088\phantom{8}\\35\overline{)3110}\\\phantom{35)}\underline{\phantom{}280\phantom{9}}\\\phantom{35)9}310\\\phantom{35)}\underline{\phantom{9}280\phantom{}}\\\phantom{35)99}30\\\end{array}
Find closest multiple of 35 to 310. We see that 8 \times 35 = 280 is the nearest. Now subtract 280 from 310 to get reminder 30. Add 8 to quotient.
\text{Quotient: }88 \text{Reminder: }30
Since 30 is less than 35, stop the division. The reminder is 30. The topmost line 0088 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 88.
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}