Solve 5555/12

$$\frac{ 5555 }{ 12 }$$

Evaluate

$$\frac{5555}{12}\approx 462.916666667$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5555

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)5555}\\\end{array}$$

Since 5 is less than 12, use the next digit 5 from dividend 5555 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)5555}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 5555

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)5555}\\\end{array}$$

Find closest multiple of 12 to 55. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 55 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}04\phantom{4}\\12\overline{)5555}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}7\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 5555

$$\begin{array}{l}\phantom{12)}04\phantom{5}\\12\overline{)5555}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}75\\\end{array}$$

Find closest multiple of 12 to 75. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 75 to get reminder 3. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}046\phantom{6}\\12\overline{)5555}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}3\\\end{array}$$

Use the 4^{th} digit 5 from dividend 5555

$$\begin{array}{l}\phantom{12)}046\phantom{7}\\12\overline{)5555}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}35\\\end{array}$$

Find closest multiple of 12 to 35. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 35 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}0462\phantom{8}\\12\overline{)5555}\\\phantom{12)}\underline{\phantom{}48\phantom{99}}\\\phantom{12)9}75\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}35\\\phantom{12)}\underline{\phantom{99}24\phantom{}}\\\phantom{12)99}11\\\end{array}$$

Since 11 is less than 12, stop the division. The reminder is 11. The topmost line 0462 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 462.

$$\text{Quotient: }462 \text{Reminder: }11$$

Factor

$$\frac{5 \cdot 11 \cdot 101}{2 ^ {2} \cdot 3} = 462\frac{11}{12} = 462.9166666666667$$