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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 367 · 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. 1.65868 ÷ 97 =
  2. 2.99573 ÷ 97 =
  3. 3.62355 ÷ 98 =
  4. 4.78284 ÷ 96 =
  5. 5.78914 ÷ 97 =
  6. 6.830564 ÷ 989 =
  7. 7.693494 ÷ 997 =
  8. 8.30792 ÷ 88 =
  9. 9.42598 ÷ 88 =
  10. 10.854832 ÷ 989 =
  11. 11.205077 ÷ 998 =
  12. 12.32051 ÷ 997 =
  13. 13.6019 ÷ 96 =
  14. 14.11796 ÷ 988 =
  15. 15.44720 ÷ 97 =
  16. 16.981458 ÷ 998 =
  17. 17.1994 ÷ 8 =
  18. 18.2482 ÷ 8 =
  19. 19.69362 ÷ 88 =
  20. 20.580470 ÷ 988 =
  21. 21.558805 ÷ 989 =
  22. 22.28002 ÷ 88 =
  23. 23.19984 ÷ 989 =
  24. 24.525563 ÷ 989 =
  25. 25.831882 ÷ 998 =
  26. 26.107674 ÷ 998 =
  27. 27.93033 ÷ 98 =
  28. 28.95025 ÷ 96 =
  29. 29.74603 ÷ 97 =
  30. 30.525972 ÷ 897 =
  31. 31.24513 ÷ 97 =
  32. 32.22706 ÷ 97 =
  33. 33.75747 ÷ 88 =
  34. 34.73071 ÷ 96 =
  35. 35.639142 ÷ 989 =
  36. 36.252939 ÷ 989 =
  37. 37.353377 ÷ 989 =
  38. 38.55600 ÷ 97 =
  39. 39.8692 ÷ 98 =
  40. 40.23377 ÷ 89 =

Answer key

  1. 679 rem 5
  2. 1026 rem 51
  3. 636 rem 27
  4. 815 rem 44
  5. 813 rem 53
  6. 839 rem 793
  7. 695 rem 579
  8. 349 rem 80
  9. 484 rem 6
  10. 864 rem 336
  11. 205 rem 487
  12. 32 rem 147
  13. 62 rem 67
  14. 11 rem 928
  15. 461 rem 3
  16. 983 rem 424
  17. 249 rem 2
  18. 310 rem 2
  19. 788 rem 18
  20. 587 rem 514
  21. 565 rem 20
  22. 318 rem 18
  23. 20 rem 204
  24. 531 rem 404
  25. 833 rem 548
  26. 107 rem 888
  27. 949 rem 31
  28. 989 rem 81
  29. 769 rem 10
  30. 586 rem 330
  31. 252 rem 69
  32. 234 rem 8
  33. 860 rem 67
  34. 761 rem 15
  35. 646 rem 248
  36. 255 rem 744
  37. 357 rem 304
  38. 573 rem 19
  39. 88 rem 68
  40. 262 rem 59

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