Evaluate
\frac{607879}{14}\approx 43419.928571429
Factor
\frac{31 \cdot 19609}{2 \cdot 7} = 43419\frac{13}{14} = 43419.92857142857
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\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)607879}\\\end{array}
Use the 1^{st} digit 6 from dividend 607879
\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)607879}\\\end{array}
Since 6 is less than 14, use the next digit 0 from dividend 607879 and add 0 to the quotient
\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)607879}\\\end{array}
Use the 2^{nd} digit 0 from dividend 607879
\begin{array}{l}\phantom{14)}04\phantom{4}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}4\\\end{array}
Find closest multiple of 14 to 60. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 60 to get reminder 4. Add 4 to quotient.
\begin{array}{l}\phantom{14)}04\phantom{5}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}47\\\end{array}
Use the 3^{rd} digit 7 from dividend 607879
\begin{array}{l}\phantom{14)}043\phantom{6}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}47\\\phantom{14)}\underline{\phantom{9}42\phantom{999}}\\\phantom{14)99}5\\\end{array}
Find closest multiple of 14 to 47. We see that 3 \times 14 = 42 is the nearest. Now subtract 42 from 47 to get reminder 5. Add 3 to quotient.
\begin{array}{l}\phantom{14)}043\phantom{7}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}47\\\phantom{14)}\underline{\phantom{9}42\phantom{999}}\\\phantom{14)99}58\\\end{array}
Use the 4^{th} digit 8 from dividend 607879
\begin{array}{l}\phantom{14)}0434\phantom{8}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}47\\\phantom{14)}\underline{\phantom{9}42\phantom{999}}\\\phantom{14)99}58\\\phantom{14)}\underline{\phantom{99}56\phantom{99}}\\\phantom{14)999}2\\\end{array}
Find closest multiple of 14 to 58. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 58 to get reminder 2. Add 4 to quotient.
\begin{array}{l}\phantom{14)}0434\phantom{9}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}47\\\phantom{14)}\underline{\phantom{9}42\phantom{999}}\\\phantom{14)99}58\\\phantom{14)}\underline{\phantom{99}56\phantom{99}}\\\phantom{14)999}27\\\end{array}
Use the 5^{th} digit 7 from dividend 607879
\begin{array}{l}\phantom{14)}04341\phantom{10}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}47\\\phantom{14)}\underline{\phantom{9}42\phantom{999}}\\\phantom{14)99}58\\\phantom{14)}\underline{\phantom{99}56\phantom{99}}\\\phantom{14)999}27\\\phantom{14)}\underline{\phantom{999}14\phantom{9}}\\\phantom{14)999}13\\\end{array}
Find closest multiple of 14 to 27. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 27 to get reminder 13. Add 1 to quotient.
\begin{array}{l}\phantom{14)}04341\phantom{11}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}47\\\phantom{14)}\underline{\phantom{9}42\phantom{999}}\\\phantom{14)99}58\\\phantom{14)}\underline{\phantom{99}56\phantom{99}}\\\phantom{14)999}27\\\phantom{14)}\underline{\phantom{999}14\phantom{9}}\\\phantom{14)999}139\\\end{array}
Use the 6^{th} digit 9 from dividend 607879
\begin{array}{l}\phantom{14)}043419\phantom{12}\\14\overline{)607879}\\\phantom{14)}\underline{\phantom{}56\phantom{9999}}\\\phantom{14)9}47\\\phantom{14)}\underline{\phantom{9}42\phantom{999}}\\\phantom{14)99}58\\\phantom{14)}\underline{\phantom{99}56\phantom{99}}\\\phantom{14)999}27\\\phantom{14)}\underline{\phantom{999}14\phantom{9}}\\\phantom{14)999}139\\\phantom{14)}\underline{\phantom{999}126\phantom{}}\\\phantom{14)9999}13\\\end{array}
Find closest multiple of 14 to 139. We see that 9 \times 14 = 126 is the nearest. Now subtract 126 from 139 to get reminder 13. Add 9 to quotient.
\text{Quotient: }43419 \text{Reminder: }13
Since 13 is less than 14, stop the division. The reminder is 13. The topmost line 043419 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43419.
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}