Solve 756div457

$$756 \div 457$$

Evaluate

$$\frac{756}{457}\approx 1.654266958$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 756

$$\begin{array}{l}\phantom{457)}\phantom{1}\\457\overline{)756}\\\end{array}$$

Since 7 is less than 457, use the next digit 5 from dividend 756 and add 0 to the quotient

$$\begin{array}{l}\phantom{457)}0\phantom{2}\\457\overline{)756}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 756

$$\begin{array}{l}\phantom{457)}0\phantom{3}\\457\overline{)756}\\\end{array}$$

Since 75 is less than 457, use the next digit 6 from dividend 756 and add 0 to the quotient

$$\begin{array}{l}\phantom{457)}00\phantom{4}\\457\overline{)756}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 756

$$\begin{array}{l}\phantom{457)}00\phantom{5}\\457\overline{)756}\\\end{array}$$

Find closest multiple of 457 to 756. We see that 1 \times 457 = 457 is the nearest. Now subtract 457 from 756 to get reminder 299. Add 1 to quotient.

$$\begin{array}{l}\phantom{457)}001\phantom{6}\\457\overline{)756}\\\phantom{457)}\underline{\phantom{}457\phantom{}}\\\phantom{457)}299\\\end{array}$$

Since 299 is less than 457, stop the division. The reminder is 299. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }299$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 7}{457} = 1\frac{299}{457} = 1.6542669584245075$$