Evaluate
\frac{15603}{127}\approx 122.858267717
Factor
\frac{3 \cdot 7 \cdot 743}{127} = 122\frac{109}{127} = 122.85826771653544
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\begin{array}{l}\phantom{127)}\phantom{1}\\127\overline{)15603}\\\end{array}
Use the 1^{st} digit 1 from dividend 15603
\begin{array}{l}\phantom{127)}0\phantom{2}\\127\overline{)15603}\\\end{array}
Since 1 is less than 127, use the next digit 5 from dividend 15603 and add 0 to the quotient
\begin{array}{l}\phantom{127)}0\phantom{3}\\127\overline{)15603}\\\end{array}
Use the 2^{nd} digit 5 from dividend 15603
\begin{array}{l}\phantom{127)}00\phantom{4}\\127\overline{)15603}\\\end{array}
Since 15 is less than 127, use the next digit 6 from dividend 15603 and add 0 to the quotient
\begin{array}{l}\phantom{127)}00\phantom{5}\\127\overline{)15603}\\\end{array}
Use the 3^{rd} digit 6 from dividend 15603
\begin{array}{l}\phantom{127)}001\phantom{6}\\127\overline{)15603}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)9}29\\\end{array}
Find closest multiple of 127 to 156. We see that 1 \times 127 = 127 is the nearest. Now subtract 127 from 156 to get reminder 29. Add 1 to quotient.
\begin{array}{l}\phantom{127)}001\phantom{7}\\127\overline{)15603}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)9}290\\\end{array}
Use the 4^{th} digit 0 from dividend 15603
\begin{array}{l}\phantom{127)}0012\phantom{8}\\127\overline{)15603}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)9}290\\\phantom{127)}\underline{\phantom{9}254\phantom{9}}\\\phantom{127)99}36\\\end{array}
Find closest multiple of 127 to 290. We see that 2 \times 127 = 254 is the nearest. Now subtract 254 from 290 to get reminder 36. Add 2 to quotient.
\begin{array}{l}\phantom{127)}0012\phantom{9}\\127\overline{)15603}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)9}290\\\phantom{127)}\underline{\phantom{9}254\phantom{9}}\\\phantom{127)99}363\\\end{array}
Use the 5^{th} digit 3 from dividend 15603
\begin{array}{l}\phantom{127)}00122\phantom{10}\\127\overline{)15603}\\\phantom{127)}\underline{\phantom{}127\phantom{99}}\\\phantom{127)9}290\\\phantom{127)}\underline{\phantom{9}254\phantom{9}}\\\phantom{127)99}363\\\phantom{127)}\underline{\phantom{99}254\phantom{}}\\\phantom{127)99}109\\\end{array}
Find closest multiple of 127 to 363. We see that 2 \times 127 = 254 is the nearest. Now subtract 254 from 363 to get reminder 109. Add 2 to quotient.
\text{Quotient: }122 \text{Reminder: }109
Since 109 is less than 127, stop the division. The reminder is 109. The topmost line 00122 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 122.
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}