Evaluate
\frac{155}{6}\approx 25.833333333
Factor
\frac{5 \cdot 31}{2 \cdot 3} = 25\frac{5}{6} = 25.833333333333332
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1550}\\\end{array}
Use the 1^{st} digit 1 from dividend 1550
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1550}\\\end{array}
Since 1 is less than 60, use the next digit 5 from dividend 1550 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1550}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1550
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1550}\\\end{array}
Since 15 is less than 60, use the next digit 5 from dividend 1550 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1550}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1550
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1550}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}35\\\end{array}
Find closest multiple of 60 to 155. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 155 to get reminder 35. Add 2 to quotient.
\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1550}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}350\\\end{array}
Use the 4^{th} digit 0 from dividend 1550
\begin{array}{l}\phantom{60)}0025\phantom{8}\\60\overline{)1550}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}350\\\phantom{60)}\underline{\phantom{9}300\phantom{}}\\\phantom{60)99}50\\\end{array}
Find closest multiple of 60 to 350. We see that 5 \times 60 = 300 is the nearest. Now subtract 300 from 350 to get reminder 50. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }50
Since 50 is less than 60, stop the division. The reminder is 50. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.
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}