Solve 458div56

$$458 \div 56$$

Evaluate

$$\frac{229}{28}\approx 8.178571429$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)458}\\\end{array}$$

Since 4 is less than 56, use the next digit 5 from dividend 458 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)458}\\\end{array}$$

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

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)458}\\\end{array}$$

Since 45 is less than 56, use the next digit 8 from dividend 458 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)458}\\\end{array}$$

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

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)458}\\\end{array}$$

Find closest multiple of 56 to 458. We see that 8 \times 56 = 448 is the nearest. Now subtract 448 from 458 to get reminder 10. Add 8 to quotient.

$$\begin{array}{l}\phantom{56)}008\phantom{6}\\56\overline{)458}\\\phantom{56)}\underline{\phantom{}448\phantom{}}\\\phantom{56)9}10\\\end{array}$$

Since 10 is less than 56, stop the division. The reminder is 10. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }10$$

Factor

$$\frac{229}{2 ^ {2} \cdot 7} = 8\frac{5}{28} = 8.178571428571429$$