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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 402 · 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. 1.37570 ÷ 88 =
  2. 2.71624 ÷ 89 =
  3. 3.248616 ÷ 997 =
  4. 4.396854 ÷ 897 =
  5. 5.9780 ÷ 97 =
  6. 6.9098 ÷ 96 =
  7. 7.512645 ÷ 989 =
  8. 8.4117 ÷ 8 =
  9. 9.454891 ÷ 897 =
  10. 10.739207 ÷ 997 =
  11. 11.66260 ÷ 98 =
  12. 12.19347 ÷ 97 =
  13. 13.32040 ÷ 998 =
  14. 14.944647 ÷ 988 =
  15. 15.44673 ÷ 88 =
  16. 16.3723 ÷ 98 =
  17. 17.556050 ÷ 988 =
  18. 18.15242 ÷ 88 =
  19. 19.89358 ÷ 97 =
  20. 20.56300 ÷ 98 =
  21. 21.704665 ÷ 997 =
  22. 22.46236 ÷ 97 =
  23. 23.28586 ÷ 97 =
  24. 24.23088 ÷ 98 =
  25. 25.220987 ÷ 998 =
  26. 26.2542 ÷ 8 =
  27. 27.72913 ÷ 97 =
  28. 28.44456 ÷ 88 =
  29. 29.623229 ÷ 998 =
  30. 30.363761 ÷ 997 =
  31. 31.90577 ÷ 89 =
  32. 32.99536 ÷ 98 =
  33. 33.13112 ÷ 88 =
  34. 34.7741 ÷ 98 =
  35. 35.68242 ÷ 97 =
  36. 36.664911 ÷ 989 =
  37. 37.16009 ÷ 96 =
  38. 38.20197 ÷ 89 =
  39. 39.18583 ÷ 97 =
  40. 40.836639 ÷ 897 =

Answer key

  1. 426 rem 82
  2. 804 rem 68
  3. 249 rem 363
  4. 442 rem 380
  5. 100 rem 80
  6. 94 rem 74
  7. 518 rem 343
  8. 514 rem 5
  9. 507 rem 112
  10. 741 rem 430
  11. 676 rem 12
  12. 199 rem 44
  13. 32 rem 104
  14. 956 rem 119
  15. 507 rem 57
  16. 37 rem 97
  17. 562 rem 794
  18. 173 rem 18
  19. 921 rem 21
  20. 574 rem 48
  21. 706 rem 783
  22. 476 rem 64
  23. 294 rem 68
  24. 235 rem 58
  25. 221 rem 429
  26. 317 rem 6
  27. 751 rem 66
  28. 505 rem 16
  29. 624 rem 477
  30. 364 rem 853
  31. 1017 rem 64
  32. 1015 rem 66
  33. 149 rem 0
  34. 78 rem 97
  35. 703 rem 51
  36. 672 rem 303
  37. 166 rem 73
  38. 226 rem 83
  39. 191 rem 56
  40. 932 rem 635

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