Solve 8470/7000

$$\frac { 8470 } { 7000 }$$

Evaluate

$$\frac{121}{100}=1.21$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8470

$$\begin{array}{l}\phantom{7000)}\phantom{1}\\7000\overline{)8470}\\\end{array}$$

Since 8 is less than 7000, use the next digit 4 from dividend 8470 and add 0 to the quotient

$$\begin{array}{l}\phantom{7000)}0\phantom{2}\\7000\overline{)8470}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 8470

$$\begin{array}{l}\phantom{7000)}0\phantom{3}\\7000\overline{)8470}\\\end{array}$$

Since 84 is less than 7000, use the next digit 7 from dividend 8470 and add 0 to the quotient

$$\begin{array}{l}\phantom{7000)}00\phantom{4}\\7000\overline{)8470}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 8470

$$\begin{array}{l}\phantom{7000)}00\phantom{5}\\7000\overline{)8470}\\\end{array}$$

Since 847 is less than 7000, use the next digit 0 from dividend 8470 and add 0 to the quotient

$$\begin{array}{l}\phantom{7000)}000\phantom{6}\\7000\overline{)8470}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8470

$$\begin{array}{l}\phantom{7000)}000\phantom{7}\\7000\overline{)8470}\\\end{array}$$

Find closest multiple of 7000 to 8470. We see that 1 \times 7000 = 7000 is the nearest. Now subtract 7000 from 8470 to get reminder 1470. Add 1 to quotient.

$$\begin{array}{l}\phantom{7000)}0001\phantom{8}\\7000\overline{)8470}\\\phantom{7000)}\underline{\phantom{}7000\phantom{}}\\\phantom{7000)}1470\\\end{array}$$

Since 1470 is less than 7000, stop the division. The reminder is 1470. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1470$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{21}{100} = 1.21$$