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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 175 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.45910 ÷ 98 =
  2. 2.7086 ÷ 8 =
  3. 3.162811 ÷ 988 =
  4. 4.21370 ÷ 98 =
  5. 5.81395 ÷ 97 =
  6. 6.233567 ÷ 998 =
  7. 7.964 ÷ 8 =
  8. 8.9607 ÷ 89 =
  9. 9.1202 ÷ 96 =
  10. 10.20612 ÷ 88 =
  11. 11.58644 ÷ 88 =
  12. 12.909150 ÷ 897 =
  13. 13.97169 ÷ 98 =
  14. 14.399815 ÷ 998 =
  15. 15.251547 ÷ 897 =
  16. 16.95072 ÷ 96 =
  17. 17.725373 ÷ 989 =
  18. 18.30630 ÷ 988 =
  19. 19.9690 ÷ 8 =
  20. 20.36529 ÷ 98 =
  21. 21.571867 ÷ 997 =
  22. 22.977779 ÷ 988 =
  23. 23.7873 ÷ 8 =
  24. 24.17256 ÷ 98 =
  25. 25.4850 ÷ 89 =
  26. 26.981736 ÷ 989 =
  27. 27.5906 ÷ 8 =
  28. 28.86941 ÷ 98 =
  29. 29.468525 ÷ 998 =
  30. 30.62107 ÷ 88 =
  31. 31.98605 ÷ 97 =
  32. 32.11510 ÷ 88 =
  33. 33.901948 ÷ 897 =
  34. 34.8771 ÷ 96 =
  35. 35.20906 ÷ 89 =
  36. 36.3247 ÷ 8 =
  37. 37.543998 ÷ 989 =
  38. 38.96726 ÷ 96 =
  39. 39.71904 ÷ 98 =
  40. 40.15254 ÷ 88 =

Answer key

  1. 468 rem 46
  2. 885 rem 6
  3. 164 rem 779
  4. 218 rem 6
  5. 839 rem 12
  6. 234 rem 35
  7. 120 rem 4
  8. 107 rem 84
  9. 12 rem 50
  10. 234 rem 20
  11. 666 rem 36
  12. 1013 rem 489
  13. 991 rem 51
  14. 400 rem 615
  15. 280 rem 387
  16. 990 rem 32
  17. 733 rem 436
  18. 31 rem 2
  19. 1211 rem 2
  20. 372 rem 73
  21. 573 rem 586
  22. 989 rem 647
  23. 984 rem 1
  24. 176 rem 8
  25. 54 rem 44
  26. 992 rem 648
  27. 738 rem 2
  28. 887 rem 15
  29. 469 rem 463
  30. 705 rem 67
  31. 1016 rem 53
  32. 130 rem 70
  33. 1005 rem 463
  34. 91 rem 35
  35. 234 rem 80
  36. 405 rem 7
  37. 550 rem 48
  38. 1007 rem 54
  39. 733 rem 70
  40. 173 rem 30

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