Solve 6470div31

$$6470 \div 31$$

Evaluate

$$\frac{6470}{31}\approx 208.709677419$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6470

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)6470}\\\end{array}$$

Since 6 is less than 31, use the next digit 4 from dividend 6470 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)6470}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 6470

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)6470}\\\end{array}$$

Find closest multiple of 31 to 64. We see that 2 \times 31 = 62 is the nearest. Now subtract 62 from 64 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{31)}02\phantom{4}\\31\overline{)6470}\\\phantom{31)}\underline{\phantom{}62\phantom{99}}\\\phantom{31)9}2\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 6470

$$\begin{array}{l}\phantom{31)}02\phantom{5}\\31\overline{)6470}\\\phantom{31)}\underline{\phantom{}62\phantom{99}}\\\phantom{31)9}27\\\end{array}$$

Since 27 is less than 31, use the next digit 0 from dividend 6470 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}020\phantom{6}\\31\overline{)6470}\\\phantom{31)}\underline{\phantom{}62\phantom{99}}\\\phantom{31)9}27\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6470

$$\begin{array}{l}\phantom{31)}020\phantom{7}\\31\overline{)6470}\\\phantom{31)}\underline{\phantom{}62\phantom{99}}\\\phantom{31)9}270\\\end{array}$$

Find closest multiple of 31 to 270. We see that 8 \times 31 = 248 is the nearest. Now subtract 248 from 270 to get reminder 22. Add 8 to quotient.

$$\begin{array}{l}\phantom{31)}0208\phantom{8}\\31\overline{)6470}\\\phantom{31)}\underline{\phantom{}62\phantom{99}}\\\phantom{31)9}270\\\phantom{31)}\underline{\phantom{9}248\phantom{}}\\\phantom{31)99}22\\\end{array}$$

Since 22 is less than 31, stop the division. The reminder is 22. The topmost line 0208 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 208.

$$\text{Quotient: }208 \text{Reminder: }22$$

Factor

$$\frac{2 \cdot 5 \cdot 647}{31} = 208\frac{22}{31} = 208.70967741935485$$