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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 247 · 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. 1.20976 ÷ 88 =
  2. 2.334542 ÷ 897 =
  3. 3.84666 ÷ 98 =
  4. 4.181880 ÷ 988 =
  5. 5.559227 ÷ 998 =
  6. 6.213307 ÷ 997 =
  7. 7.59440 ÷ 989 =
  8. 8.40271 ÷ 89 =
  9. 9.551420 ÷ 988 =
  10. 10.57188 ÷ 89 =
  11. 11.34019 ÷ 98 =
  12. 12.43556 ÷ 88 =
  13. 13.50645 ÷ 97 =
  14. 14.914136 ÷ 998 =
  15. 15.786280 ÷ 988 =
  16. 16.58524 ÷ 98 =
  17. 17.24205 ÷ 97 =
  18. 18.9808 ÷ 8 =
  19. 19.45405 ÷ 96 =
  20. 20.7782 ÷ 8 =
  21. 21.6881 ÷ 8 =
  22. 22.69151 ÷ 88 =
  23. 23.52884 ÷ 98 =
  24. 24.81346 ÷ 97 =
  25. 25.20778 ÷ 98 =
  26. 26.78281 ÷ 97 =
  27. 27.82805 ÷ 897 =
  28. 28.348016 ÷ 988 =
  29. 29.545912 ÷ 989 =
  30. 30.670339 ÷ 998 =
  31. 31.90231 ÷ 98 =
  32. 32.23280 ÷ 96 =
  33. 33.709696 ÷ 997 =
  34. 34.69775 ÷ 96 =
  35. 35.59188 ÷ 89 =
  36. 36.543083 ÷ 989 =
  37. 37.5727 ÷ 89 =
  38. 38.4726 ÷ 8 =
  39. 39.97170 ÷ 88 =
  40. 40.39630 ÷ 98 =

Answer key

  1. 238 rem 32
  2. 372 rem 858
  3. 863 rem 92
  4. 184 rem 88
  5. 560 rem 347
  6. 213 rem 946
  7. 60 rem 100
  8. 452 rem 43
  9. 558 rem 116
  10. 642 rem 50
  11. 347 rem 13
  12. 494 rem 84
  13. 522 rem 11
  14. 915 rem 966
  15. 795 rem 820
  16. 597 rem 18
  17. 249 rem 52
  18. 1226 rem 0
  19. 472 rem 93
  20. 972 rem 6
  21. 860 rem 1
  22. 785 rem 71
  23. 539 rem 62
  24. 838 rem 60
  25. 212 rem 2
  26. 807 rem 2
  27. 92 rem 281
  28. 352 rem 240
  29. 551 rem 973
  30. 671 rem 681
  31. 920 rem 71
  32. 242 rem 48
  33. 711 rem 829
  34. 726 rem 79
  35. 665 rem 3
  36. 549 rem 122
  37. 64 rem 31
  38. 590 rem 6
  39. 1104 rem 18
  40. 404 rem 38

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