Evaluate
\frac{2260}{17}\approx 132.941176471
Factor
\frac{2 ^ {2} \cdot 5 \cdot 113}{17} = 132\frac{16}{17} = 132.94117647058823
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\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)4520}\\\end{array}
Use the 1^{st} digit 4 from dividend 4520
\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)4520}\\\end{array}
Since 4 is less than 34, use the next digit 5 from dividend 4520 and add 0 to the quotient
\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)4520}\\\end{array}
Use the 2^{nd} digit 5 from dividend 4520
\begin{array}{l}\phantom{34)}01\phantom{4}\\34\overline{)4520}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}11\\\end{array}
Find closest multiple of 34 to 45. We see that 1 \times 34 = 34 is the nearest. Now subtract 34 from 45 to get reminder 11. Add 1 to quotient.
\begin{array}{l}\phantom{34)}01\phantom{5}\\34\overline{)4520}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}112\\\end{array}
Use the 3^{rd} digit 2 from dividend 4520
\begin{array}{l}\phantom{34)}013\phantom{6}\\34\overline{)4520}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}112\\\phantom{34)}\underline{\phantom{}102\phantom{9}}\\\phantom{34)9}10\\\end{array}
Find closest multiple of 34 to 112. We see that 3 \times 34 = 102 is the nearest. Now subtract 102 from 112 to get reminder 10. Add 3 to quotient.
\begin{array}{l}\phantom{34)}013\phantom{7}\\34\overline{)4520}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}112\\\phantom{34)}\underline{\phantom{}102\phantom{9}}\\\phantom{34)9}100\\\end{array}
Use the 4^{th} digit 0 from dividend 4520
\begin{array}{l}\phantom{34)}0132\phantom{8}\\34\overline{)4520}\\\phantom{34)}\underline{\phantom{}34\phantom{99}}\\\phantom{34)}112\\\phantom{34)}\underline{\phantom{}102\phantom{9}}\\\phantom{34)9}100\\\phantom{34)}\underline{\phantom{99}68\phantom{}}\\\phantom{34)99}32\\\end{array}
Find closest multiple of 34 to 100. We see that 2 \times 34 = 68 is the nearest. Now subtract 68 from 100 to get reminder 32. Add 2 to quotient.
\text{Quotient: }132 \text{Reminder: }32
Since 32 is less than 34, stop the division. The reminder is 32. The topmost line 0132 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 132.
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}