Solve 1515div398

$$1515 \div 398$$

Evaluate

$$\frac{1515}{398}\approx 3.806532663$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1515

$$\begin{array}{l}\phantom{398)}\phantom{1}\\398\overline{)1515}\\\end{array}$$

Since 1 is less than 398, use the next digit 5 from dividend 1515 and add 0 to the quotient

$$\begin{array}{l}\phantom{398)}0\phantom{2}\\398\overline{)1515}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1515

$$\begin{array}{l}\phantom{398)}0\phantom{3}\\398\overline{)1515}\\\end{array}$$

Since 15 is less than 398, use the next digit 1 from dividend 1515 and add 0 to the quotient

$$\begin{array}{l}\phantom{398)}00\phantom{4}\\398\overline{)1515}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1515

$$\begin{array}{l}\phantom{398)}00\phantom{5}\\398\overline{)1515}\\\end{array}$$

Since 151 is less than 398, use the next digit 5 from dividend 1515 and add 0 to the quotient

$$\begin{array}{l}\phantom{398)}000\phantom{6}\\398\overline{)1515}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1515

$$\begin{array}{l}\phantom{398)}000\phantom{7}\\398\overline{)1515}\\\end{array}$$

Find closest multiple of 398 to 1515. We see that 3 \times 398 = 1194 is the nearest. Now subtract 1194 from 1515 to get reminder 321. Add 3 to quotient.

$$\begin{array}{l}\phantom{398)}0003\phantom{8}\\398\overline{)1515}\\\phantom{398)}\underline{\phantom{}1194\phantom{}}\\\phantom{398)9}321\\\end{array}$$

Since 321 is less than 398, stop the division. The reminder is 321. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }321$$

Factor

$$\frac{3 \cdot 5 \cdot 101}{2 \cdot 199} = 3\frac{321}{398} = 3.806532663316583$$