Solve 974div510

$$974 \div 510$$

Evaluate

$$\frac{487}{255}\approx 1.909803922$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 974

$$\begin{array}{l}\phantom{510)}\phantom{1}\\510\overline{)974}\\\end{array}$$

Since 9 is less than 510, use the next digit 7 from dividend 974 and add 0 to the quotient

$$\begin{array}{l}\phantom{510)}0\phantom{2}\\510\overline{)974}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 974

$$\begin{array}{l}\phantom{510)}0\phantom{3}\\510\overline{)974}\\\end{array}$$

Since 97 is less than 510, use the next digit 4 from dividend 974 and add 0 to the quotient

$$\begin{array}{l}\phantom{510)}00\phantom{4}\\510\overline{)974}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 974

$$\begin{array}{l}\phantom{510)}00\phantom{5}\\510\overline{)974}\\\end{array}$$

Find closest multiple of 510 to 974. We see that 1 \times 510 = 510 is the nearest. Now subtract 510 from 974 to get reminder 464. Add 1 to quotient.

$$\begin{array}{l}\phantom{510)}001\phantom{6}\\510\overline{)974}\\\phantom{510)}\underline{\phantom{}510\phantom{}}\\\phantom{510)}464\\\end{array}$$

Since 464 is less than 510, stop the division. The reminder is 464. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }464$$

Factor

$$\frac{487}{3 \cdot 5 \cdot 17} = 1\frac{232}{255} = 1.9098039215686275$$