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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 392 · 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. 1.39902 ÷ 89 =
  2. 2.23489 ÷ 98 =
  3. 3.30756 ÷ 97 =
  4. 4.28655 ÷ 96 =
  5. 5.11578 ÷ 97 =
  6. 6.954956 ÷ 989 =
  7. 7.793807 ÷ 997 =
  8. 8.68555 ÷ 96 =
  9. 9.731013 ÷ 897 =
  10. 10.692524 ÷ 997 =
  11. 11.665098 ÷ 988 =
  12. 12.990083 ÷ 988 =
  13. 13.654849 ÷ 998 =
  14. 14.79716 ÷ 98 =
  15. 15.75436 ÷ 96 =
  16. 16.70061 ÷ 96 =
  17. 17.56198 ÷ 96 =
  18. 18.690777 ÷ 997 =
  19. 19.6338 ÷ 8 =
  20. 20.54161 ÷ 88 =
  21. 21.37966 ÷ 96 =
  22. 22.6950 ÷ 8 =
  23. 23.658115 ÷ 897 =
  24. 24.463 ÷ 8 =
  25. 25.811229 ÷ 997 =
  26. 26.441336 ÷ 897 =
  27. 27.87411 ÷ 88 =
  28. 28.67583 ÷ 97 =
  29. 29.34584 ÷ 96 =
  30. 30.28612 ÷ 97 =
  31. 31.622830 ÷ 988 =
  32. 32.857665 ÷ 989 =
  33. 33.8711 ÷ 8 =
  34. 34.983191 ÷ 997 =
  35. 35.91687 ÷ 98 =
  36. 36.616784 ÷ 897 =
  37. 37.983522 ÷ 897 =
  38. 38.49444 ÷ 88 =
  39. 39.71513 ÷ 89 =
  40. 40.1195 ÷ 8 =

Answer key

  1. 448 rem 30
  2. 239 rem 67
  3. 317 rem 7
  4. 298 rem 47
  5. 119 rem 35
  6. 965 rem 571
  7. 796 rem 195
  8. 714 rem 11
  9. 814 rem 855
  10. 694 rem 606
  11. 673 rem 174
  12. 1002 rem 107
  13. 656 rem 161
  14. 813 rem 42
  15. 785 rem 76
  16. 729 rem 77
  17. 585 rem 38
  18. 692 rem 853
  19. 792 rem 2
  20. 615 rem 41
  21. 395 rem 46
  22. 868 rem 6
  23. 733 rem 614
  24. 57 rem 7
  25. 813 rem 668
  26. 492 rem 12
  27. 993 rem 27
  28. 696 rem 71
  29. 360 rem 24
  30. 294 rem 94
  31. 630 rem 390
  32. 867 rem 202
  33. 1088 rem 7
  34. 986 rem 149
  35. 935 rem 57
  36. 687 rem 545
  37. 1096 rem 410
  38. 561 rem 76
  39. 803 rem 46
  40. 149 rem 3

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