Solve 1571div365

$$1571 \div 365$$

Evaluate

$$\frac{1571}{365}\approx 4.304109589$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1571

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)1571}\\\end{array}$$

Since 1 is less than 365, use the next digit 5 from dividend 1571 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)1571}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1571

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)1571}\\\end{array}$$

Since 15 is less than 365, use the next digit 7 from dividend 1571 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)1571}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1571

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)1571}\\\end{array}$$

Since 157 is less than 365, use the next digit 1 from dividend 1571 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)1571}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 1571

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)1571}\\\end{array}$$

Find closest multiple of 365 to 1571. We see that 4 \times 365 = 1460 is the nearest. Now subtract 1460 from 1571 to get reminder 111. Add 4 to quotient.

$$\begin{array}{l}\phantom{365)}0004\phantom{8}\\365\overline{)1571}\\\phantom{365)}\underline{\phantom{}1460\phantom{}}\\\phantom{365)9}111\\\end{array}$$

Since 111 is less than 365, stop the division. The reminder is 111. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }111$$

Factor

$$\frac{1571}{5 \cdot 73} = 4\frac{111}{365} = 4.304109589041096$$