Answer:36
10 remainder
Explanation:
Step 1:
Start by setting it up with the divisor 11 on the left side and the dividend 406 on the right side like this:
1 1 ⟌ 4 0 6
Step 2:
The divisor (11) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
1 1 ⟌ 4 0 6
Step 3:
Multiply the divisor by the result in the previous step (11 x 0 = 0) and write that answer below the dividend.
0
1 1 ⟌ 4 0 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
1 1 ⟌ 4 0 6
- 0
4
Step 5:
Move down the 2nd digit of the dividend (0) like this:
0
1 1 ⟌ 4 0 6
- 0
4 0
Step 6:
The divisor (11) goes into the bottom number (40), 3 times (s). Therefore, put 3 on top:
0 3
1 1 ⟌ 4 0 6
- 0
4 0
Step 7:
Multiply the divisor by the result in the previous step (11 x 3 = 33) and write that answer at the bottom:
0 3
1 1 ⟌ 4 0 6
- 0
4 0
3 3
Step 8:
Subtract the result in the previous step from the number written above it. (40 - 33 = 7) and write the answer at the bottom.
0 3
1 1 ⟌ 4 0 6
- 0
4 0
- 3 3
7
Step 9:
Move down the last digit of the dividend (6) like this:
0 3
1 1 ⟌ 4 0 6
- 0
4 0
- 3 3
7 6
Step 10:
The divisor (11) goes into the bottom number (76), 6 time(s). Therefore put 6 on top:
0 3 6
1 1 ⟌ 4 0 6
- 0
4 0
- 3 3
7 6
Step 11:
Multiply the divisor by the result in the previous step (11 x 6 = 66) and write the answer at the bottom:
0 3 6
1 1 ⟌ 4 0 6
- 0
4 0
- 3 3
7 6
6 6
Step 12:
Subtract the result in the previous step from the number written above it. (76 - 66 = 10) and write the answer at the bottom.
0 3 6
1 1 ⟌ 4 0 6
- 0
4 0
- 3 3
7 6
- 6 6
1 0
You are done because there are no more digits to move down from the dividend.
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