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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 680 · 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. 1.1504 ÷ 98 =
  2. 2.851657 ÷ 998 =
  3. 3.22169 ÷ 98 =
  4. 4.46322 ÷ 88 =
  5. 5.64393 ÷ 89 =
  6. 6.547747 ÷ 998 =
  7. 7.935197 ÷ 997 =
  8. 8.739262 ÷ 998 =
  9. 9.807 ÷ 8 =
  10. 10.58375 ÷ 97 =
  11. 11.436882 ÷ 897 =
  12. 12.54149 ÷ 96 =
  13. 13.698046 ÷ 997 =
  14. 14.324290 ÷ 989 =
  15. 15.77769 ÷ 989 =
  16. 16.7517 ÷ 8 =
  17. 17.5123 ÷ 8 =
  18. 18.3327 ÷ 8 =
  19. 19.826570 ÷ 988 =
  20. 20.21750 ÷ 97 =
  21. 21.10606 ÷ 98 =
  22. 22.8519 ÷ 8 =
  23. 23.2160 ÷ 89 =
  24. 24.67939 ÷ 96 =
  25. 25.86489 ÷ 96 =
  26. 26.710224 ÷ 988 =
  27. 27.12810 ÷ 88 =
  28. 28.40915 ÷ 97 =
  29. 29.418333 ÷ 897 =
  30. 30.20052 ÷ 88 =
  31. 31.99002 ÷ 96 =
  32. 32.210293 ÷ 988 =
  33. 33.69753 ÷ 97 =
  34. 34.358387 ÷ 998 =
  35. 35.48331 ÷ 96 =
  36. 36.14886 ÷ 98 =
  37. 37.61227 ÷ 97 =
  38. 38.62394 ÷ 88 =
  39. 39.36471 ÷ 97 =
  40. 40.748435 ÷ 989 =

Answer key

  1. 15 rem 34
  2. 853 rem 363
  3. 226 rem 21
  4. 526 rem 34
  5. 723 rem 46
  6. 548 rem 843
  7. 938 rem 11
  8. 740 rem 742
  9. 100 rem 7
  10. 601 rem 78
  11. 487 rem 43
  12. 564 rem 5
  13. 700 rem 146
  14. 327 rem 887
  15. 78 rem 627
  16. 939 rem 5
  17. 640 rem 3
  18. 415 rem 7
  19. 836 rem 602
  20. 224 rem 22
  21. 108 rem 22
  22. 1064 rem 7
  23. 24 rem 24
  24. 707 rem 67
  25. 900 rem 89
  26. 718 rem 840
  27. 145 rem 50
  28. 421 rem 78
  29. 466 rem 331
  30. 227 rem 76
  31. 1031 rem 26
  32. 212 rem 837
  33. 719 rem 10
  34. 359 rem 105
  35. 503 rem 43
  36. 151 rem 88
  37. 631 rem 20
  38. 709 rem 2
  39. 375 rem 96
  40. 756 rem 751

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