Solve 4900/71

$$\frac{ 4900 }{ 71 }$$

Evaluate

$$\frac{4900}{71}\approx 69.014084507$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4900

$$\begin{array}{l}\phantom{71)}\phantom{1}\\71\overline{)4900}\\\end{array}$$

Since 4 is less than 71, use the next digit 9 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{71)}0\phantom{2}\\71\overline{)4900}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 4900

$$\begin{array}{l}\phantom{71)}0\phantom{3}\\71\overline{)4900}\\\end{array}$$

Since 49 is less than 71, use the next digit 0 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{71)}00\phantom{4}\\71\overline{)4900}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4900

$$\begin{array}{l}\phantom{71)}00\phantom{5}\\71\overline{)4900}\\\end{array}$$

Find closest multiple of 71 to 490. We see that 6 \times 71 = 426 is the nearest. Now subtract 426 from 490 to get reminder 64. Add 6 to quotient.

$$\begin{array}{l}\phantom{71)}006\phantom{6}\\71\overline{)4900}\\\phantom{71)}\underline{\phantom{}426\phantom{9}}\\\phantom{71)9}64\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4900

$$\begin{array}{l}\phantom{71)}006\phantom{7}\\71\overline{)4900}\\\phantom{71)}\underline{\phantom{}426\phantom{9}}\\\phantom{71)9}640\\\end{array}$$

Find closest multiple of 71 to 640. We see that 9 \times 71 = 639 is the nearest. Now subtract 639 from 640 to get reminder 1. Add 9 to quotient.

$$\begin{array}{l}\phantom{71)}0069\phantom{8}\\71\overline{)4900}\\\phantom{71)}\underline{\phantom{}426\phantom{9}}\\\phantom{71)9}640\\\phantom{71)}\underline{\phantom{9}639\phantom{}}\\\phantom{71)999}1\\\end{array}$$

Since 1 is less than 71, stop the division. The reminder is 1. The topmost line 0069 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 69.

$$\text{Quotient: }69 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 7 ^ {2}}{71} = 69\frac{1}{71} = 69.01408450704226$$