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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 967 · 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. 1.289779 ÷ 897 =
  2. 2.613409 ÷ 989 =
  3. 3.311302 ÷ 997 =
  4. 4.381559 ÷ 998 =
  5. 5.4949 ÷ 96 =
  6. 6.814880 ÷ 989 =
  7. 7.38840 ÷ 98 =
  8. 8.14427 ÷ 97 =
  9. 9.303072 ÷ 988 =
  10. 10.844123 ÷ 988 =
  11. 11.117690 ÷ 998 =
  12. 12.559804 ÷ 989 =
  13. 13.8351 ÷ 89 =
  14. 14.309737 ÷ 989 =
  15. 15.984945 ÷ 989 =
  16. 16.238913 ÷ 998 =
  17. 17.70953 ÷ 88 =
  18. 18.79380 ÷ 89 =
  19. 19.78542 ÷ 97 =
  20. 20.654611 ÷ 989 =
  21. 21.884606 ÷ 897 =
  22. 22.8136 ÷ 8 =
  23. 23.860409 ÷ 997 =
  24. 24.3436 ÷ 8 =
  25. 25.30467 ÷ 98 =
  26. 26.52039 ÷ 88 =
  27. 27.56407 ÷ 88 =
  28. 28.61485 ÷ 98 =
  29. 29.44925 ÷ 98 =
  30. 30.2806 ÷ 8 =
  31. 31.1493 ÷ 8 =
  32. 32.433146 ÷ 989 =
  33. 33.40240 ÷ 989 =
  34. 34.169705 ÷ 988 =
  35. 35.97612 ÷ 998 =
  36. 36.935734 ÷ 998 =
  37. 37.77123 ÷ 97 =
  38. 38.44015 ÷ 88 =
  39. 39.32171 ÷ 98 =
  40. 40.241017 ÷ 897 =

Answer key

  1. 323 rem 48
  2. 620 rem 229
  3. 312 rem 238
  4. 382 rem 323
  5. 51 rem 53
  6. 823 rem 933
  7. 396 rem 32
  8. 148 rem 71
  9. 306 rem 744
  10. 854 rem 371
  11. 117 rem 924
  12. 566 rem 30
  13. 93 rem 74
  14. 313 rem 180
  15. 995 rem 890
  16. 239 rem 391
  17. 806 rem 25
  18. 891 rem 81
  19. 809 rem 69
  20. 661 rem 882
  21. 986 rem 164
  22. 1017 rem 0
  23. 862 rem 995
  24. 429 rem 4
  25. 310 rem 87
  26. 591 rem 31
  27. 640 rem 87
  28. 627 rem 39
  29. 458 rem 41
  30. 350 rem 6
  31. 186 rem 5
  32. 437 rem 953
  33. 40 rem 680
  34. 171 rem 757
  35. 97 rem 806
  36. 937 rem 608
  37. 795 rem 8
  38. 500 rem 15
  39. 328 rem 27
  40. 268 rem 621

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