Evaluate
\frac{3119}{14}\approx 222.785714286
Factor
\frac{3119}{2 \cdot 7} = 222\frac{11}{14} = 222.78571428571428
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)6238}\\\end{array}
Use the 1^{st} digit 6 from dividend 6238
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)6238}\\\end{array}
Since 6 is less than 28, use the next digit 2 from dividend 6238 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)6238}\\\end{array}
Use the 2^{nd} digit 2 from dividend 6238
\begin{array}{l}\phantom{28)}02\phantom{4}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}6\\\end{array}
Find closest multiple of 28 to 62. We see that 2 \times 28 = 56 is the nearest. Now subtract 56 from 62 to get reminder 6. Add 2 to quotient.
\begin{array}{l}\phantom{28)}02\phantom{5}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}63\\\end{array}
Use the 3^{rd} digit 3 from dividend 6238
\begin{array}{l}\phantom{28)}022\phantom{6}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}63\\\phantom{28)}\underline{\phantom{9}56\phantom{9}}\\\phantom{28)99}7\\\end{array}
Find closest multiple of 28 to 63. We see that 2 \times 28 = 56 is the nearest. Now subtract 56 from 63 to get reminder 7. Add 2 to quotient.
\begin{array}{l}\phantom{28)}022\phantom{7}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}63\\\phantom{28)}\underline{\phantom{9}56\phantom{9}}\\\phantom{28)99}78\\\end{array}
Use the 4^{th} digit 8 from dividend 6238
\begin{array}{l}\phantom{28)}0222\phantom{8}\\28\overline{)6238}\\\phantom{28)}\underline{\phantom{}56\phantom{99}}\\\phantom{28)9}63\\\phantom{28)}\underline{\phantom{9}56\phantom{9}}\\\phantom{28)99}78\\\phantom{28)}\underline{\phantom{99}56\phantom{}}\\\phantom{28)99}22\\\end{array}
Find closest multiple of 28 to 78. We see that 2 \times 28 = 56 is the nearest. Now subtract 56 from 78 to get reminder 22. Add 2 to quotient.
\text{Quotient: }222 \text{Reminder: }22
Since 22 is less than 28, stop the division. The reminder is 22. The topmost line 0222 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 222.
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}