Solve 5075div675

$$5075 \div 675$$

Evaluate

$$\frac{203}{27}\approx 7.518518519$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5075

$$\begin{array}{l}\phantom{675)}\phantom{1}\\675\overline{)5075}\\\end{array}$$

Since 5 is less than 675, use the next digit 0 from dividend 5075 and add 0 to the quotient

$$\begin{array}{l}\phantom{675)}0\phantom{2}\\675\overline{)5075}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5075

$$\begin{array}{l}\phantom{675)}0\phantom{3}\\675\overline{)5075}\\\end{array}$$

Since 50 is less than 675, use the next digit 7 from dividend 5075 and add 0 to the quotient

$$\begin{array}{l}\phantom{675)}00\phantom{4}\\675\overline{)5075}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 5075

$$\begin{array}{l}\phantom{675)}00\phantom{5}\\675\overline{)5075}\\\end{array}$$

Since 507 is less than 675, use the next digit 5 from dividend 5075 and add 0 to the quotient

$$\begin{array}{l}\phantom{675)}000\phantom{6}\\675\overline{)5075}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 5075

$$\begin{array}{l}\phantom{675)}000\phantom{7}\\675\overline{)5075}\\\end{array}$$

Find closest multiple of 675 to 5075. We see that 7 \times 675 = 4725 is the nearest. Now subtract 4725 from 5075 to get reminder 350. Add 7 to quotient.

$$\begin{array}{l}\phantom{675)}0007\phantom{8}\\675\overline{)5075}\\\phantom{675)}\underline{\phantom{}4725\phantom{}}\\\phantom{675)9}350\\\end{array}$$

Since 350 is less than 675, stop the division. The reminder is 350. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }350$$

Factor

$$\frac{7 \cdot 29}{3 ^ {3}} = 7\frac{14}{27} = 7.518518518518518$$