Solve 5013:75=

$$5013 : 75 =$$

Evaluate

$$\frac{1671}{25}=66.84$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5013

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)5013}\\\end{array}$$

Since 5 is less than 75, use the next digit 0 from dividend 5013 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)5013}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5013

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)5013}\\\end{array}$$

Since 50 is less than 75, use the next digit 1 from dividend 5013 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)5013}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 5013

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)5013}\\\end{array}$$

Find closest multiple of 75 to 501. We see that 6 \times 75 = 450 is the nearest. Now subtract 450 from 501 to get reminder 51. Add 6 to quotient.

$$\begin{array}{l}\phantom{75)}006\phantom{6}\\75\overline{)5013}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}51\\\end{array}$$

Use the 4^{th} digit 3 from dividend 5013

$$\begin{array}{l}\phantom{75)}006\phantom{7}\\75\overline{)5013}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}513\\\end{array}$$

Find closest multiple of 75 to 513. We see that 6 \times 75 = 450 is the nearest. Now subtract 450 from 513 to get reminder 63. Add 6 to quotient.

$$\begin{array}{l}\phantom{75)}0066\phantom{8}\\75\overline{)5013}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}513\\\phantom{75)}\underline{\phantom{9}450\phantom{}}\\\phantom{75)99}63\\\end{array}$$

Since 63 is less than 75, stop the division. The reminder is 63. The topmost line 0066 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 66.

$$\text{Quotient: }66 \text{Reminder: }63$$

Factor

$$\frac{3 \cdot 557}{5 ^ {2}} = 66\frac{21}{25} = 66.84$$