Solve 3017div170

$$3017 \div 170$$

Evaluate

$$\frac{3017}{170}\approx 17.747058824$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3017

$$\begin{array}{l}\phantom{170)}\phantom{1}\\170\overline{)3017}\\\end{array}$$

Since 3 is less than 170, use the next digit 0 from dividend 3017 and add 0 to the quotient

$$\begin{array}{l}\phantom{170)}0\phantom{2}\\170\overline{)3017}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3017

$$\begin{array}{l}\phantom{170)}0\phantom{3}\\170\overline{)3017}\\\end{array}$$

Since 30 is less than 170, use the next digit 1 from dividend 3017 and add 0 to the quotient

$$\begin{array}{l}\phantom{170)}00\phantom{4}\\170\overline{)3017}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 3017

$$\begin{array}{l}\phantom{170)}00\phantom{5}\\170\overline{)3017}\\\end{array}$$

Find closest multiple of 170 to 301. We see that 1 \times 170 = 170 is the nearest. Now subtract 170 from 301 to get reminder 131. Add 1 to quotient.

$$\begin{array}{l}\phantom{170)}001\phantom{6}\\170\overline{)3017}\\\phantom{170)}\underline{\phantom{}170\phantom{9}}\\\phantom{170)}131\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3017

$$\begin{array}{l}\phantom{170)}001\phantom{7}\\170\overline{)3017}\\\phantom{170)}\underline{\phantom{}170\phantom{9}}\\\phantom{170)}1317\\\end{array}$$

Find closest multiple of 170 to 1317. We see that 7 \times 170 = 1190 is the nearest. Now subtract 1190 from 1317 to get reminder 127. Add 7 to quotient.

$$\begin{array}{l}\phantom{170)}0017\phantom{8}\\170\overline{)3017}\\\phantom{170)}\underline{\phantom{}170\phantom{9}}\\\phantom{170)}1317\\\phantom{170)}\underline{\phantom{}1190\phantom{}}\\\phantom{170)9}127\\\end{array}$$

Since 127 is less than 170, stop the division. The reminder is 127. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }127$$

Factor

$$\frac{7 \cdot 431}{2 \cdot 5 \cdot 17} = 17\frac{127}{170} = 17.74705882352941$$