Solve 697div41

$$697 \div 41$$

Evaluate

$$17$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 697

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)697}\\\end{array}$$

Since 6 is less than 41, use the next digit 9 from dividend 697 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)697}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 697

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)697}\\\end{array}$$

Find closest multiple of 41 to 69. We see that 1 \times 41 = 41 is the nearest. Now subtract 41 from 69 to get reminder 28. Add 1 to quotient.

$$\begin{array}{l}\phantom{41)}01\phantom{4}\\41\overline{)697}\\\phantom{41)}\underline{\phantom{}41\phantom{9}}\\\phantom{41)}28\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 697

$$\begin{array}{l}\phantom{41)}01\phantom{5}\\41\overline{)697}\\\phantom{41)}\underline{\phantom{}41\phantom{9}}\\\phantom{41)}287\\\end{array}$$

Find closest multiple of 41 to 287. We see that 7 \times 41 = 287 is the nearest. Now subtract 287 from 287 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{41)}017\phantom{6}\\41\overline{)697}\\\phantom{41)}\underline{\phantom{}41\phantom{9}}\\\phantom{41)}287\\\phantom{41)}\underline{\phantom{}287\phantom{}}\\\phantom{41)999}0\\\end{array}$$

Since 0 is less than 41, stop the division. The reminder is 0. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }0$$

Factor

$$17$$