Solve 38,124div365

$$38,124 \div 365$$

Evaluate

$$\frac{38124}{365}\approx 104.449315068$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 38124

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)38124}\\\end{array}$$

Since 3 is less than 365, use the next digit 8 from dividend 38124 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)38124}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 38124

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)38124}\\\end{array}$$

Since 38 is less than 365, use the next digit 1 from dividend 38124 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)38124}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 38124

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)38124}\\\end{array}$$

Find closest multiple of 365 to 381. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 381 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)38124}\\\phantom{365)}\underline{\phantom{}365\phantom{99}}\\\phantom{365)9}16\\\end{array}$$

Use the 4^{th} digit 2 from dividend 38124

$$\begin{array}{l}\phantom{365)}001\phantom{7}\\365\overline{)38124}\\\phantom{365)}\underline{\phantom{}365\phantom{99}}\\\phantom{365)9}162\\\end{array}$$

Since 162 is less than 365, use the next digit 4 from dividend 38124 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0010\phantom{8}\\365\overline{)38124}\\\phantom{365)}\underline{\phantom{}365\phantom{99}}\\\phantom{365)9}162\\\end{array}$$

Use the 5^{th} digit 4 from dividend 38124

$$\begin{array}{l}\phantom{365)}0010\phantom{9}\\365\overline{)38124}\\\phantom{365)}\underline{\phantom{}365\phantom{99}}\\\phantom{365)9}1624\\\end{array}$$

Find closest multiple of 365 to 1624. We see that 4 \times 365 = 1460 is the nearest. Now subtract 1460 from 1624 to get reminder 164. Add 4 to quotient.

$$\begin{array}{l}\phantom{365)}00104\phantom{10}\\365\overline{)38124}\\\phantom{365)}\underline{\phantom{}365\phantom{99}}\\\phantom{365)9}1624\\\phantom{365)}\underline{\phantom{9}1460\phantom{}}\\\phantom{365)99}164\\\end{array}$$

Since 164 is less than 365, stop the division. The reminder is 164. The topmost line 00104 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 104.

$$\text{Quotient: }104 \text{Reminder: }164$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 353}{5 \cdot 73} = 104\frac{164}{365} = 104.44931506849315$$