Solve 4905/875

$$\frac{ 4905 }{ 875 }$$

Evaluate

$$\frac{981}{175}\approx 5.605714286$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4905

$$\begin{array}{l}\phantom{875)}\phantom{1}\\875\overline{)4905}\\\end{array}$$

Since 4 is less than 875, use the next digit 9 from dividend 4905 and add 0 to the quotient

$$\begin{array}{l}\phantom{875)}0\phantom{2}\\875\overline{)4905}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 4905

$$\begin{array}{l}\phantom{875)}0\phantom{3}\\875\overline{)4905}\\\end{array}$$

Since 49 is less than 875, use the next digit 0 from dividend 4905 and add 0 to the quotient

$$\begin{array}{l}\phantom{875)}00\phantom{4}\\875\overline{)4905}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4905

$$\begin{array}{l}\phantom{875)}00\phantom{5}\\875\overline{)4905}\\\end{array}$$

Since 490 is less than 875, use the next digit 5 from dividend 4905 and add 0 to the quotient

$$\begin{array}{l}\phantom{875)}000\phantom{6}\\875\overline{)4905}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4905

$$\begin{array}{l}\phantom{875)}000\phantom{7}\\875\overline{)4905}\\\end{array}$$

Find closest multiple of 875 to 4905. We see that 5 \times 875 = 4375 is the nearest. Now subtract 4375 from 4905 to get reminder 530. Add 5 to quotient.

$$\begin{array}{l}\phantom{875)}0005\phantom{8}\\875\overline{)4905}\\\phantom{875)}\underline{\phantom{}4375\phantom{}}\\\phantom{875)9}530\\\end{array}$$

Since 530 is less than 875, stop the division. The reminder is 530. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }530$$

Factor

$$\frac{3 ^ {2} \cdot 109}{5 ^ {2} \cdot 7} = 5\frac{106}{175} = 5.605714285714286$$