Solve 6272div166

$$6272 \div 166$$

Evaluate

$$\frac{3136}{83}\approx 37.78313253$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6272

$$\begin{array}{l}\phantom{166)}\phantom{1}\\166\overline{)6272}\\\end{array}$$

Since 6 is less than 166, use the next digit 2 from dividend 6272 and add 0 to the quotient

$$\begin{array}{l}\phantom{166)}0\phantom{2}\\166\overline{)6272}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 6272

$$\begin{array}{l}\phantom{166)}0\phantom{3}\\166\overline{)6272}\\\end{array}$$

Since 62 is less than 166, use the next digit 7 from dividend 6272 and add 0 to the quotient

$$\begin{array}{l}\phantom{166)}00\phantom{4}\\166\overline{)6272}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 6272

$$\begin{array}{l}\phantom{166)}00\phantom{5}\\166\overline{)6272}\\\end{array}$$

Find closest multiple of 166 to 627. We see that 3 \times 166 = 498 is the nearest. Now subtract 498 from 627 to get reminder 129. Add 3 to quotient.

$$\begin{array}{l}\phantom{166)}003\phantom{6}\\166\overline{)6272}\\\phantom{166)}\underline{\phantom{}498\phantom{9}}\\\phantom{166)}129\\\end{array}$$

Use the 4^{th} digit 2 from dividend 6272

$$\begin{array}{l}\phantom{166)}003\phantom{7}\\166\overline{)6272}\\\phantom{166)}\underline{\phantom{}498\phantom{9}}\\\phantom{166)}1292\\\end{array}$$

Find closest multiple of 166 to 1292. We see that 7 \times 166 = 1162 is the nearest. Now subtract 1162 from 1292 to get reminder 130. Add 7 to quotient.

$$\begin{array}{l}\phantom{166)}0037\phantom{8}\\166\overline{)6272}\\\phantom{166)}\underline{\phantom{}498\phantom{9}}\\\phantom{166)}1292\\\phantom{166)}\underline{\phantom{}1162\phantom{}}\\\phantom{166)9}130\\\end{array}$$

Since 130 is less than 166, stop the division. The reminder is 130. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }130$$

Factor

$$\frac{2 ^ {6} \cdot 7 ^ {2}}{83} = 37\frac{65}{83} = 37.78313253012048$$