Solve 3455div480

$$3455 \div 480$$

Evaluate

$$\frac{691}{96}\approx 7.197916667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3455

$$\begin{array}{l}\phantom{480)}\phantom{1}\\480\overline{)3455}\\\end{array}$$

Since 3 is less than 480, use the next digit 4 from dividend 3455 and add 0 to the quotient

$$\begin{array}{l}\phantom{480)}0\phantom{2}\\480\overline{)3455}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3455

$$\begin{array}{l}\phantom{480)}0\phantom{3}\\480\overline{)3455}\\\end{array}$$

Since 34 is less than 480, use the next digit 5 from dividend 3455 and add 0 to the quotient

$$\begin{array}{l}\phantom{480)}00\phantom{4}\\480\overline{)3455}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3455

$$\begin{array}{l}\phantom{480)}00\phantom{5}\\480\overline{)3455}\\\end{array}$$

Since 345 is less than 480, use the next digit 5 from dividend 3455 and add 0 to the quotient

$$\begin{array}{l}\phantom{480)}000\phantom{6}\\480\overline{)3455}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3455

$$\begin{array}{l}\phantom{480)}000\phantom{7}\\480\overline{)3455}\\\end{array}$$

Find closest multiple of 480 to 3455. We see that 7 \times 480 = 3360 is the nearest. Now subtract 3360 from 3455 to get reminder 95. Add 7 to quotient.

$$\begin{array}{l}\phantom{480)}0007\phantom{8}\\480\overline{)3455}\\\phantom{480)}\underline{\phantom{}3360\phantom{}}\\\phantom{480)99}95\\\end{array}$$

Since 95 is less than 480, stop the division. The reminder is 95. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }95$$

Factor

$$\frac{691}{2 ^ {5} \cdot 3} = 7\frac{19}{96} = 7.197916666666667$$