Evaluate
\frac{1010207}{45}\approx 22449.044444444
Factor
\frac{11 \cdot 91837}{3 ^ {2} \cdot 5} = 22449\frac{2}{45} = 22449.044444444444
Share
Copied to clipboard
\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)5051035}\\\end{array}
Use the 1^{st} digit 5 from dividend 5051035
\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)5051035}\\\end{array}
Since 5 is less than 225, use the next digit 0 from dividend 5051035 and add 0 to the quotient
\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)5051035}\\\end{array}
Use the 2^{nd} digit 0 from dividend 5051035
\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)5051035}\\\end{array}
Since 50 is less than 225, use the next digit 5 from dividend 5051035 and add 0 to the quotient
\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)5051035}\\\end{array}
Use the 3^{rd} digit 5 from dividend 5051035
\begin{array}{l}\phantom{225)}002\phantom{6}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}55\\\end{array}
Find closest multiple of 225 to 505. We see that 2 \times 225 = 450 is the nearest. Now subtract 450 from 505 to get reminder 55. Add 2 to quotient.
\begin{array}{l}\phantom{225)}002\phantom{7}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}551\\\end{array}
Use the 4^{th} digit 1 from dividend 5051035
\begin{array}{l}\phantom{225)}0022\phantom{8}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}551\\\phantom{225)}\underline{\phantom{9}450\phantom{999}}\\\phantom{225)9}101\\\end{array}
Find closest multiple of 225 to 551. We see that 2 \times 225 = 450 is the nearest. Now subtract 450 from 551 to get reminder 101. Add 2 to quotient.
\begin{array}{l}\phantom{225)}0022\phantom{9}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}551\\\phantom{225)}\underline{\phantom{9}450\phantom{999}}\\\phantom{225)9}1010\\\end{array}
Use the 5^{th} digit 0 from dividend 5051035
\begin{array}{l}\phantom{225)}00224\phantom{10}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}551\\\phantom{225)}\underline{\phantom{9}450\phantom{999}}\\\phantom{225)9}1010\\\phantom{225)}\underline{\phantom{99}900\phantom{99}}\\\phantom{225)99}110\\\end{array}
Find closest multiple of 225 to 1010. We see that 4 \times 225 = 900 is the nearest. Now subtract 900 from 1010 to get reminder 110. Add 4 to quotient.
\begin{array}{l}\phantom{225)}00224\phantom{11}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}551\\\phantom{225)}\underline{\phantom{9}450\phantom{999}}\\\phantom{225)9}1010\\\phantom{225)}\underline{\phantom{99}900\phantom{99}}\\\phantom{225)99}1103\\\end{array}
Use the 6^{th} digit 3 from dividend 5051035
\begin{array}{l}\phantom{225)}002244\phantom{12}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}551\\\phantom{225)}\underline{\phantom{9}450\phantom{999}}\\\phantom{225)9}1010\\\phantom{225)}\underline{\phantom{99}900\phantom{99}}\\\phantom{225)99}1103\\\phantom{225)}\underline{\phantom{999}900\phantom{9}}\\\phantom{225)999}203\\\end{array}
Find closest multiple of 225 to 1103. We see that 4 \times 225 = 900 is the nearest. Now subtract 900 from 1103 to get reminder 203. Add 4 to quotient.
\begin{array}{l}\phantom{225)}002244\phantom{13}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}551\\\phantom{225)}\underline{\phantom{9}450\phantom{999}}\\\phantom{225)9}1010\\\phantom{225)}\underline{\phantom{99}900\phantom{99}}\\\phantom{225)99}1103\\\phantom{225)}\underline{\phantom{999}900\phantom{9}}\\\phantom{225)999}2035\\\end{array}
Use the 7^{th} digit 5 from dividend 5051035
\begin{array}{l}\phantom{225)}0022449\phantom{14}\\225\overline{)5051035}\\\phantom{225)}\underline{\phantom{}450\phantom{9999}}\\\phantom{225)9}551\\\phantom{225)}\underline{\phantom{9}450\phantom{999}}\\\phantom{225)9}1010\\\phantom{225)}\underline{\phantom{99}900\phantom{99}}\\\phantom{225)99}1103\\\phantom{225)}\underline{\phantom{999}900\phantom{9}}\\\phantom{225)999}2035\\\phantom{225)}\underline{\phantom{999}2025\phantom{}}\\\phantom{225)99999}10\\\end{array}
Find closest multiple of 225 to 2035. We see that 9 \times 225 = 2025 is the nearest. Now subtract 2025 from 2035 to get reminder 10. Add 9 to quotient.
\text{Quotient: }22449 \text{Reminder: }10
Since 10 is less than 225, stop the division. The reminder is 10. The topmost line 0022449 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22449.
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}