Solve 140000/217

$$\frac{ 140000 }{ 217 }$$

Evaluate

$$\frac{20000}{31}\approx 645.161290323$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 140000

$$\begin{array}{l}\phantom{217)}\phantom{1}\\217\overline{)140000}\\\end{array}$$

Since 1 is less than 217, use the next digit 4 from dividend 140000 and add 0 to the quotient

$$\begin{array}{l}\phantom{217)}0\phantom{2}\\217\overline{)140000}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 140000

$$\begin{array}{l}\phantom{217)}0\phantom{3}\\217\overline{)140000}\\\end{array}$$

Since 14 is less than 217, use the next digit 0 from dividend 140000 and add 0 to the quotient

$$\begin{array}{l}\phantom{217)}00\phantom{4}\\217\overline{)140000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 140000

$$\begin{array}{l}\phantom{217)}00\phantom{5}\\217\overline{)140000}\\\end{array}$$

Since 140 is less than 217, use the next digit 0 from dividend 140000 and add 0 to the quotient

$$\begin{array}{l}\phantom{217)}000\phantom{6}\\217\overline{)140000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 140000

$$\begin{array}{l}\phantom{217)}000\phantom{7}\\217\overline{)140000}\\\end{array}$$

Find closest multiple of 217 to 1400. We see that 6 \times 217 = 1302 is the nearest. Now subtract 1302 from 1400 to get reminder 98. Add 6 to quotient.

$$\begin{array}{l}\phantom{217)}0006\phantom{8}\\217\overline{)140000}\\\phantom{217)}\underline{\phantom{}1302\phantom{99}}\\\phantom{217)99}98\\\end{array}$$

Use the 5^{th} digit 0 from dividend 140000

$$\begin{array}{l}\phantom{217)}0006\phantom{9}\\217\overline{)140000}\\\phantom{217)}\underline{\phantom{}1302\phantom{99}}\\\phantom{217)99}980\\\end{array}$$

Find closest multiple of 217 to 980. We see that 4 \times 217 = 868 is the nearest. Now subtract 868 from 980 to get reminder 112. Add 4 to quotient.

$$\begin{array}{l}\phantom{217)}00064\phantom{10}\\217\overline{)140000}\\\phantom{217)}\underline{\phantom{}1302\phantom{99}}\\\phantom{217)99}980\\\phantom{217)}\underline{\phantom{99}868\phantom{9}}\\\phantom{217)99}112\\\end{array}$$

Use the 6^{th} digit 0 from dividend 140000

$$\begin{array}{l}\phantom{217)}00064\phantom{11}\\217\overline{)140000}\\\phantom{217)}\underline{\phantom{}1302\phantom{99}}\\\phantom{217)99}980\\\phantom{217)}\underline{\phantom{99}868\phantom{9}}\\\phantom{217)99}1120\\\end{array}$$

Find closest multiple of 217 to 1120. We see that 5 \times 217 = 1085 is the nearest. Now subtract 1085 from 1120 to get reminder 35. Add 5 to quotient.

$$\begin{array}{l}\phantom{217)}000645\phantom{12}\\217\overline{)140000}\\\phantom{217)}\underline{\phantom{}1302\phantom{99}}\\\phantom{217)99}980\\\phantom{217)}\underline{\phantom{99}868\phantom{9}}\\\phantom{217)99}1120\\\phantom{217)}\underline{\phantom{99}1085\phantom{}}\\\phantom{217)9999}35\\\end{array}$$

Since 35 is less than 217, stop the division. The reminder is 35. The topmost line 000645 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 645.

$$\text{Quotient: }645 \text{Reminder: }35$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {4}}{31} = 645\frac{5}{31} = 645.1612903225806$$