Solve 3920div1162

$$3920 \div 1162$$

Evaluate

$$\frac{280}{83}\approx 3.373493976$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3920

$$\begin{array}{l}\phantom{1162)}\phantom{1}\\1162\overline{)3920}\\\end{array}$$

Since 3 is less than 1162, use the next digit 9 from dividend 3920 and add 0 to the quotient

$$\begin{array}{l}\phantom{1162)}0\phantom{2}\\1162\overline{)3920}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3920

$$\begin{array}{l}\phantom{1162)}0\phantom{3}\\1162\overline{)3920}\\\end{array}$$

Since 39 is less than 1162, use the next digit 2 from dividend 3920 and add 0 to the quotient

$$\begin{array}{l}\phantom{1162)}00\phantom{4}\\1162\overline{)3920}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3920

$$\begin{array}{l}\phantom{1162)}00\phantom{5}\\1162\overline{)3920}\\\end{array}$$

Since 392 is less than 1162, use the next digit 0 from dividend 3920 and add 0 to the quotient

$$\begin{array}{l}\phantom{1162)}000\phantom{6}\\1162\overline{)3920}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3920

$$\begin{array}{l}\phantom{1162)}000\phantom{7}\\1162\overline{)3920}\\\end{array}$$

Find closest multiple of 1162 to 3920. We see that 3 \times 1162 = 3486 is the nearest. Now subtract 3486 from 3920 to get reminder 434. Add 3 to quotient.

$$\begin{array}{l}\phantom{1162)}0003\phantom{8}\\1162\overline{)3920}\\\phantom{1162)}\underline{\phantom{}3486\phantom{}}\\\phantom{1162)9}434\\\end{array}$$

Since 434 is less than 1162, stop the division. The reminder is 434. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }434$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 7}{83} = 3\frac{31}{83} = 3.3734939759036147$$