Solve 25555656div65

$$25555656 \div 65$$

Evaluate

$$\frac{25555656}{65}\approx 393163.938461538$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 25555656

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)25555656}\\\end{array}$$

Since 2 is less than 65, use the next digit 5 from dividend 25555656 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)25555656}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 25555656

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)25555656}\\\end{array}$$

Since 25 is less than 65, use the next digit 5 from dividend 25555656 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)25555656}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 25555656

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)25555656}\\\end{array}$$

Find closest multiple of 65 to 255. We see that 3 \times 65 = 195 is the nearest. Now subtract 195 from 255 to get reminder 60. Add 3 to quotient.

$$\begin{array}{l}\phantom{65)}003\phantom{6}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}60\\\end{array}$$

Use the 4^{th} digit 5 from dividend 25555656

$$\begin{array}{l}\phantom{65)}003\phantom{7}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\end{array}$$

Find closest multiple of 65 to 605. We see that 9 \times 65 = 585 is the nearest. Now subtract 585 from 605 to get reminder 20. Add 9 to quotient.

$$\begin{array}{l}\phantom{65)}0039\phantom{8}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}20\\\end{array}$$

Use the 5^{th} digit 5 from dividend 25555656

$$\begin{array}{l}\phantom{65)}0039\phantom{9}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}205\\\end{array}$$

Find closest multiple of 65 to 205. We see that 3 \times 65 = 195 is the nearest. Now subtract 195 from 205 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{65)}00393\phantom{10}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}205\\\phantom{65)}\underline{\phantom{99}195\phantom{999}}\\\phantom{65)999}10\\\end{array}$$

Use the 6^{th} digit 6 from dividend 25555656

$$\begin{array}{l}\phantom{65)}00393\phantom{11}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}205\\\phantom{65)}\underline{\phantom{99}195\phantom{999}}\\\phantom{65)999}106\\\end{array}$$

Find closest multiple of 65 to 106. We see that 1 \times 65 = 65 is the nearest. Now subtract 65 from 106 to get reminder 41. Add 1 to quotient.

$$\begin{array}{l}\phantom{65)}003931\phantom{12}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}205\\\phantom{65)}\underline{\phantom{99}195\phantom{999}}\\\phantom{65)999}106\\\phantom{65)}\underline{\phantom{9999}65\phantom{99}}\\\phantom{65)9999}41\\\end{array}$$

Use the 7^{th} digit 5 from dividend 25555656

$$\begin{array}{l}\phantom{65)}003931\phantom{13}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}205\\\phantom{65)}\underline{\phantom{99}195\phantom{999}}\\\phantom{65)999}106\\\phantom{65)}\underline{\phantom{9999}65\phantom{99}}\\\phantom{65)9999}415\\\end{array}$$

Find closest multiple of 65 to 415. We see that 6 \times 65 = 390 is the nearest. Now subtract 390 from 415 to get reminder 25. Add 6 to quotient.

$$\begin{array}{l}\phantom{65)}0039316\phantom{14}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}205\\\phantom{65)}\underline{\phantom{99}195\phantom{999}}\\\phantom{65)999}106\\\phantom{65)}\underline{\phantom{9999}65\phantom{99}}\\\phantom{65)9999}415\\\phantom{65)}\underline{\phantom{9999}390\phantom{9}}\\\phantom{65)99999}25\\\end{array}$$

Use the 8^{th} digit 6 from dividend 25555656

$$\begin{array}{l}\phantom{65)}0039316\phantom{15}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}205\\\phantom{65)}\underline{\phantom{99}195\phantom{999}}\\\phantom{65)999}106\\\phantom{65)}\underline{\phantom{9999}65\phantom{99}}\\\phantom{65)9999}415\\\phantom{65)}\underline{\phantom{9999}390\phantom{9}}\\\phantom{65)99999}256\\\end{array}$$

Find closest multiple of 65 to 256. We see that 3 \times 65 = 195 is the nearest. Now subtract 195 from 256 to get reminder 61. Add 3 to quotient.

$$\begin{array}{l}\phantom{65)}00393163\phantom{16}\\65\overline{)25555656}\\\phantom{65)}\underline{\phantom{}195\phantom{99999}}\\\phantom{65)9}605\\\phantom{65)}\underline{\phantom{9}585\phantom{9999}}\\\phantom{65)99}205\\\phantom{65)}\underline{\phantom{99}195\phantom{999}}\\\phantom{65)999}106\\\phantom{65)}\underline{\phantom{9999}65\phantom{99}}\\\phantom{65)9999}415\\\phantom{65)}\underline{\phantom{9999}390\phantom{9}}\\\phantom{65)99999}256\\\phantom{65)}\underline{\phantom{99999}195\phantom{}}\\\phantom{65)999999}61\\\end{array}$$

Since 61 is less than 65, stop the division. The reminder is 61. The topmost line 00393163 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 393163.

$$\text{Quotient: }393163 \text{Reminder: }61$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 7 ^ {2} \cdot 31 \cdot 701}{5 \cdot 13} = 393163\frac{61}{65} = 393163.93846153846$$