Evaluate
\frac{3139}{90}\approx 34.877777778
Factor
\frac{43 \cdot 73}{2 \cdot 3 ^ {2} \cdot 5} = 34\frac{79}{90} = 34.87777777777778
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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)3139}\\\end{array}
Use the 1^{st} digit 3 from dividend 3139
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)3139}\\\end{array}
Since 3 is less than 90, use the next digit 1 from dividend 3139 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)3139}\\\end{array}
Use the 2^{nd} digit 1 from dividend 3139
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)3139}\\\end{array}
Since 31 is less than 90, use the next digit 3 from dividend 3139 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)3139}\\\end{array}
Use the 3^{rd} digit 3 from dividend 3139
\begin{array}{l}\phantom{90)}003\phantom{6}\\90\overline{)3139}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}43\\\end{array}
Find closest multiple of 90 to 313. We see that 3 \times 90 = 270 is the nearest. Now subtract 270 from 313 to get reminder 43. Add 3 to quotient.
\begin{array}{l}\phantom{90)}003\phantom{7}\\90\overline{)3139}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}439\\\end{array}
Use the 4^{th} digit 9 from dividend 3139
\begin{array}{l}\phantom{90)}0034\phantom{8}\\90\overline{)3139}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}439\\\phantom{90)}\underline{\phantom{9}360\phantom{}}\\\phantom{90)99}79\\\end{array}
Find closest multiple of 90 to 439. We see that 4 \times 90 = 360 is the nearest. Now subtract 360 from 439 to get reminder 79. Add 4 to quotient.
\text{Quotient: }34 \text{Reminder: }79
Since 79 is less than 90, stop the division. The reminder is 79. The topmost line 0034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.
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}