Solve 458div65=

$$458 \div 65=$$

Evaluate

$$\frac{458}{65}\approx 7.046153846$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 458

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)458}\\\end{array}$$

Since 4 is less than 65, use the next digit 5 from dividend 458 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)458}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 458

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)458}\\\end{array}$$

Since 45 is less than 65, use the next digit 8 from dividend 458 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)458}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 458

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)458}\\\end{array}$$

Find closest multiple of 65 to 458. We see that 7 \times 65 = 455 is the nearest. Now subtract 455 from 458 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{65)}007\phantom{6}\\65\overline{)458}\\\phantom{65)}\underline{\phantom{}455\phantom{}}\\\phantom{65)99}3\\\end{array}$$

Since 3 is less than 65, stop the division. The reminder is 3. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }3$$

Factor

$$\frac{2 \cdot 229}{5 \cdot 13} = 7\frac{3}{65} = 7.046153846153846$$