Solve 57600div3142

$$57600 \div 3142$$

Evaluate

$$\frac{28800}{1571}\approx 18.332272438$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 57600

$$\begin{array}{l}\phantom{3142)}\phantom{1}\\3142\overline{)57600}\\\end{array}$$

Since 5 is less than 3142, use the next digit 7 from dividend 57600 and add 0 to the quotient

$$\begin{array}{l}\phantom{3142)}0\phantom{2}\\3142\overline{)57600}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 57600

$$\begin{array}{l}\phantom{3142)}0\phantom{3}\\3142\overline{)57600}\\\end{array}$$

Since 57 is less than 3142, use the next digit 6 from dividend 57600 and add 0 to the quotient

$$\begin{array}{l}\phantom{3142)}00\phantom{4}\\3142\overline{)57600}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 57600

$$\begin{array}{l}\phantom{3142)}00\phantom{5}\\3142\overline{)57600}\\\end{array}$$

Since 576 is less than 3142, use the next digit 0 from dividend 57600 and add 0 to the quotient

$$\begin{array}{l}\phantom{3142)}000\phantom{6}\\3142\overline{)57600}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 57600

$$\begin{array}{l}\phantom{3142)}000\phantom{7}\\3142\overline{)57600}\\\end{array}$$

Find closest multiple of 3142 to 5760. We see that 1 \times 3142 = 3142 is the nearest. Now subtract 3142 from 5760 to get reminder 2618. Add 1 to quotient.

$$\begin{array}{l}\phantom{3142)}0001\phantom{8}\\3142\overline{)57600}\\\phantom{3142)}\underline{\phantom{}3142\phantom{9}}\\\phantom{3142)}2618\\\end{array}$$

Use the 5^{th} digit 0 from dividend 57600

$$\begin{array}{l}\phantom{3142)}0001\phantom{9}\\3142\overline{)57600}\\\phantom{3142)}\underline{\phantom{}3142\phantom{9}}\\\phantom{3142)}26180\\\end{array}$$

Find closest multiple of 3142 to 26180. We see that 8 \times 3142 = 25136 is the nearest. Now subtract 25136 from 26180 to get reminder 1044. Add 8 to quotient.

$$\begin{array}{l}\phantom{3142)}00018\phantom{10}\\3142\overline{)57600}\\\phantom{3142)}\underline{\phantom{}3142\phantom{9}}\\\phantom{3142)}26180\\\phantom{3142)}\underline{\phantom{}25136\phantom{}}\\\phantom{3142)9}1044\\\end{array}$$

Since 1044 is less than 3142, stop the division. The reminder is 1044. The topmost line 00018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }1044$$

Factor

$$\frac{2 ^ {7} \cdot 3 ^ {2} \cdot 5 ^ {2}}{1571} = 18\frac{522}{1571} = 18.33227243793762$$