Solve 7500:840

$$7500 : 840$$

Evaluate

$$\frac{125}{14}\approx 8.928571429$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7500

$$\begin{array}{l}\phantom{840)}\phantom{1}\\840\overline{)7500}\\\end{array}$$

Since 7 is less than 840, use the next digit 5 from dividend 7500 and add 0 to the quotient

$$\begin{array}{l}\phantom{840)}0\phantom{2}\\840\overline{)7500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 7500

$$\begin{array}{l}\phantom{840)}0\phantom{3}\\840\overline{)7500}\\\end{array}$$

Since 75 is less than 840, use the next digit 0 from dividend 7500 and add 0 to the quotient

$$\begin{array}{l}\phantom{840)}00\phantom{4}\\840\overline{)7500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 7500

$$\begin{array}{l}\phantom{840)}00\phantom{5}\\840\overline{)7500}\\\end{array}$$

Since 750 is less than 840, use the next digit 0 from dividend 7500 and add 0 to the quotient

$$\begin{array}{l}\phantom{840)}000\phantom{6}\\840\overline{)7500}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7500

$$\begin{array}{l}\phantom{840)}000\phantom{7}\\840\overline{)7500}\\\end{array}$$

Find closest multiple of 840 to 7500. We see that 8 \times 840 = 6720 is the nearest. Now subtract 6720 from 7500 to get reminder 780. Add 8 to quotient.

$$\begin{array}{l}\phantom{840)}0008\phantom{8}\\840\overline{)7500}\\\phantom{840)}\underline{\phantom{}6720\phantom{}}\\\phantom{840)9}780\\\end{array}$$

Since 780 is less than 840, stop the division. The reminder is 780. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }780$$

Factor

$$\frac{5 ^ {3}}{2 \cdot 7} = 8\frac{13}{14} = 8.928571428571429$$