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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 892 · 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. 1.56347 ÷ 88 =
  2. 2.852411 ÷ 897 =
  3. 3.64273 ÷ 88 =
  4. 4.715919 ÷ 897 =
  5. 5.572606 ÷ 997 =
  6. 6.37763 ÷ 89 =
  7. 7.71940 ÷ 96 =
  8. 8.149047 ÷ 897 =
  9. 9.65180 ÷ 88 =
  10. 10.701381 ÷ 997 =
  11. 11.398638 ÷ 989 =
  12. 12.14315 ÷ 988 =
  13. 13.251022 ÷ 997 =
  14. 14.776120 ÷ 897 =
  15. 15.56125 ÷ 89 =
  16. 16.77239 ÷ 98 =
  17. 17.7591 ÷ 8 =
  18. 18.902732 ÷ 897 =
  19. 19.671172 ÷ 997 =
  20. 20.39444 ÷ 97 =
  21. 21.806047 ÷ 989 =
  22. 22.887809 ÷ 897 =
  23. 23.62016 ÷ 96 =
  24. 24.58634 ÷ 96 =
  25. 25.4117 ÷ 8 =
  26. 26.5948 ÷ 8 =
  27. 27.97673 ÷ 98 =
  28. 28.40889 ÷ 96 =
  29. 29.8449 ÷ 88 =
  30. 30.686572 ÷ 989 =
  31. 31.183880 ÷ 988 =
  32. 32.622247 ÷ 997 =
  33. 33.194123 ÷ 897 =
  34. 34.35544 ÷ 89 =
  35. 35.7075 ÷ 8 =
  36. 36.17689 ÷ 88 =
  37. 37.217174 ÷ 998 =
  38. 38.21338 ÷ 97 =
  39. 39.699080 ÷ 998 =
  40. 40.217530 ÷ 998 =

Answer key

  1. 640 rem 27
  2. 950 rem 261
  3. 730 rem 33
  4. 798 rem 113
  5. 574 rem 328
  6. 424 rem 27
  7. 749 rem 36
  8. 166 rem 145
  9. 740 rem 60
  10. 703 rem 490
  11. 403 rem 71
  12. 14 rem 483
  13. 251 rem 775
  14. 865 rem 215
  15. 630 rem 55
  16. 788 rem 15
  17. 948 rem 7
  18. 1006 rem 350
  19. 673 rem 191
  20. 406 rem 62
  21. 815 rem 12
  22. 989 rem 676
  23. 646 rem 0
  24. 610 rem 74
  25. 514 rem 5
  26. 743 rem 4
  27. 996 rem 65
  28. 425 rem 89
  29. 96 rem 1
  30. 694 rem 206
  31. 186 rem 112
  32. 624 rem 119
  33. 216 rem 371
  34. 399 rem 33
  35. 884 rem 3
  36. 201 rem 1
  37. 217 rem 608
  38. 219 rem 95
  39. 700 rem 480
  40. 217 rem 964

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