Solve 3502:625=

$$3502 : 625 =$$

Evaluate

$$\frac{3502}{625}=5.6032$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3502

$$\begin{array}{l}\phantom{625)}\phantom{1}\\625\overline{)3502}\\\end{array}$$

Since 3 is less than 625, use the next digit 5 from dividend 3502 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}0\phantom{2}\\625\overline{)3502}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 3502

$$\begin{array}{l}\phantom{625)}0\phantom{3}\\625\overline{)3502}\\\end{array}$$

Since 35 is less than 625, use the next digit 0 from dividend 3502 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}00\phantom{4}\\625\overline{)3502}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3502

$$\begin{array}{l}\phantom{625)}00\phantom{5}\\625\overline{)3502}\\\end{array}$$

Since 350 is less than 625, use the next digit 2 from dividend 3502 and add 0 to the quotient

$$\begin{array}{l}\phantom{625)}000\phantom{6}\\625\overline{)3502}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 3502

$$\begin{array}{l}\phantom{625)}000\phantom{7}\\625\overline{)3502}\\\end{array}$$

Find closest multiple of 625 to 3502. We see that 5 \times 625 = 3125 is the nearest. Now subtract 3125 from 3502 to get reminder 377. Add 5 to quotient.

$$\begin{array}{l}\phantom{625)}0005\phantom{8}\\625\overline{)3502}\\\phantom{625)}\underline{\phantom{}3125\phantom{}}\\\phantom{625)9}377\\\end{array}$$

Since 377 is less than 625, stop the division. The reminder is 377. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }377$$

Factor

$$\frac{2 \cdot 17 \cdot 103}{5 ^ {4}} = 5\frac{377}{625} = 5.6032$$