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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 703 · 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. 1.32015 ÷ 997 =
  2. 2.163860 ÷ 989 =
  3. 3.234010 ÷ 897 =
  4. 4.17067 ÷ 88 =
  5. 5.60782 ÷ 98 =
  6. 6.590729 ÷ 998 =
  7. 7.988474 ÷ 997 =
  8. 8.95787 ÷ 98 =
  9. 9.484553 ÷ 997 =
  10. 10.810212 ÷ 997 =
  11. 11.411911 ÷ 988 =
  12. 12.83863 ÷ 89 =
  13. 13.54798 ÷ 98 =
  14. 14.171785 ÷ 989 =
  15. 15.95243 ÷ 88 =
  16. 16.2821 ÷ 8 =
  17. 17.19845 ÷ 98 =
  18. 18.239398 ÷ 897 =
  19. 19.90589 ÷ 89 =
  20. 20.94298 ÷ 96 =
  21. 21.898238 ÷ 997 =
  22. 22.93076 ÷ 98 =
  23. 23.8299 ÷ 89 =
  24. 24.328 ÷ 8 =
  25. 25.31778 ÷ 96 =
  26. 26.40583 ÷ 96 =
  27. 27.882428 ÷ 998 =
  28. 28.425426 ÷ 988 =
  29. 29.540109 ÷ 989 =
  30. 30.36294 ÷ 89 =
  31. 31.303273 ÷ 897 =
  32. 32.51709 ÷ 98 =
  33. 33.40038 ÷ 97 =
  34. 34.887 ÷ 8 =
  35. 35.2498 ÷ 8 =
  36. 36.382710 ÷ 998 =
  37. 37.445565 ÷ 988 =
  38. 38.629436 ÷ 997 =
  39. 39.11253 ÷ 89 =
  40. 40.840873 ÷ 997 =

Answer key

  1. 32 rem 111
  2. 165 rem 675
  3. 260 rem 790
  4. 193 rem 83
  5. 620 rem 22
  6. 591 rem 911
  7. 991 rem 447
  8. 977 rem 41
  9. 486 rem 11
  10. 812 rem 648
  11. 416 rem 903
  12. 942 rem 25
  13. 559 rem 16
  14. 173 rem 688
  15. 1082 rem 27
  16. 352 rem 5
  17. 202 rem 49
  18. 266 rem 796
  19. 1017 rem 76
  20. 982 rem 26
  21. 900 rem 938
  22. 949 rem 74
  23. 93 rem 22
  24. 41 rem 0
  25. 331 rem 2
  26. 422 rem 71
  27. 884 rem 196
  28. 430 rem 586
  29. 546 rem 115
  30. 407 rem 71
  31. 338 rem 87
  32. 527 rem 63
  33. 412 rem 74
  34. 110 rem 7
  35. 312 rem 2
  36. 383 rem 476
  37. 450 rem 965
  38. 631 rem 329
  39. 126 rem 39
  40. 843 rem 402

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