Solve 698/17

$$\frac { 698 } { 17 }$$

Evaluate

$$\frac{698}{17}\approx 41.058823529$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 698

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)698}\\\end{array}$$

Since 6 is less than 17, use the next digit 9 from dividend 698 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)698}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 698

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)698}\\\end{array}$$

Find closest multiple of 17 to 69. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 69 to get reminder 1. Add 4 to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)698}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)9}1\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 698

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)698}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)9}18\\\end{array}$$

Find closest multiple of 17 to 18. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 18 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{17)}041\phantom{6}\\17\overline{)698}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)9}18\\\phantom{17)}\underline{\phantom{9}17\phantom{}}\\\phantom{17)99}1\\\end{array}$$

Since 1 is less than 17, stop the division. The reminder is 1. The topmost line 041 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 41.

$$\text{Quotient: }41 \text{Reminder: }1$$

Factor

$$\frac{2 \cdot 349}{17} = 41\frac{1}{17} = 41.05882352941177$$