Evaluate
\frac{88}{7}\approx 12.571428571
Factor
\frac{2 ^ {3} \cdot 11}{7} = 12\frac{4}{7} = 12.571428571428571
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\begin{array}{l}\phantom{1750)}\phantom{1}\\1750\overline{)22000}\\\end{array}
Use the 1^{st} digit 2 from dividend 22000
\begin{array}{l}\phantom{1750)}0\phantom{2}\\1750\overline{)22000}\\\end{array}
Since 2 is less than 1750, use the next digit 2 from dividend 22000 and add 0 to the quotient
\begin{array}{l}\phantom{1750)}0\phantom{3}\\1750\overline{)22000}\\\end{array}
Use the 2^{nd} digit 2 from dividend 22000
\begin{array}{l}\phantom{1750)}00\phantom{4}\\1750\overline{)22000}\\\end{array}
Since 22 is less than 1750, use the next digit 0 from dividend 22000 and add 0 to the quotient
\begin{array}{l}\phantom{1750)}00\phantom{5}\\1750\overline{)22000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 22000
\begin{array}{l}\phantom{1750)}000\phantom{6}\\1750\overline{)22000}\\\end{array}
Since 220 is less than 1750, use the next digit 0 from dividend 22000 and add 0 to the quotient
\begin{array}{l}\phantom{1750)}000\phantom{7}\\1750\overline{)22000}\\\end{array}
Use the 4^{th} digit 0 from dividend 22000
\begin{array}{l}\phantom{1750)}0001\phantom{8}\\1750\overline{)22000}\\\phantom{1750)}\underline{\phantom{}1750\phantom{9}}\\\phantom{1750)9}450\\\end{array}
Find closest multiple of 1750 to 2200. We see that 1 \times 1750 = 1750 is the nearest. Now subtract 1750 from 2200 to get reminder 450. Add 1 to quotient.
\begin{array}{l}\phantom{1750)}0001\phantom{9}\\1750\overline{)22000}\\\phantom{1750)}\underline{\phantom{}1750\phantom{9}}\\\phantom{1750)9}4500\\\end{array}
Use the 5^{th} digit 0 from dividend 22000
\begin{array}{l}\phantom{1750)}00012\phantom{10}\\1750\overline{)22000}\\\phantom{1750)}\underline{\phantom{}1750\phantom{9}}\\\phantom{1750)9}4500\\\phantom{1750)}\underline{\phantom{9}3500\phantom{}}\\\phantom{1750)9}1000\\\end{array}
Find closest multiple of 1750 to 4500. We see that 2 \times 1750 = 3500 is the nearest. Now subtract 3500 from 4500 to get reminder 1000. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }1000
Since 1000 is less than 1750, stop the division. The reminder is 1000. The topmost line 00012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.
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}