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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 716 · 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. 1.670501 ÷ 988 =
  2. 2.643803 ÷ 998 =
  3. 3.8524 ÷ 8 =
  4. 4.21122 ÷ 97 =
  5. 5.143715 ÷ 989 =
  6. 6.297686 ÷ 997 =
  7. 7.74007 ÷ 89 =
  8. 8.800360 ÷ 997 =
  9. 9.985940 ÷ 988 =
  10. 10.66696 ÷ 98 =
  11. 11.15060 ÷ 96 =
  12. 12.958772 ÷ 989 =
  13. 13.58756 ÷ 88 =
  14. 14.48073 ÷ 98 =
  15. 15.28311 ÷ 96 =
  16. 16.139952 ÷ 998 =
  17. 17.82849 ÷ 89 =
  18. 18.224246 ÷ 897 =
  19. 19.2927 ÷ 98 =
  20. 20.42292 ÷ 88 =
  21. 21.26998 ÷ 988 =
  22. 22.82890 ÷ 989 =
  23. 23.297404 ÷ 988 =
  24. 24.8115 ÷ 8 =
  25. 25.98093 ÷ 88 =
  26. 26.537814 ÷ 989 =
  27. 27.30538 ÷ 89 =
  28. 28.57903 ÷ 897 =
  29. 29.11241 ÷ 97 =
  30. 30.19273 ÷ 97 =
  31. 31.18535 ÷ 98 =
  32. 32.20303 ÷ 97 =
  33. 33.585015 ÷ 998 =
  34. 34.14894 ÷ 97 =
  35. 35.5922 ÷ 8 =
  36. 36.27220 ÷ 89 =
  37. 37.1236 ÷ 8 =
  38. 38.155944 ÷ 988 =
  39. 39.50738 ÷ 96 =
  40. 40.951727 ÷ 998 =

Answer key

  1. 678 rem 637
  2. 645 rem 93
  3. 1065 rem 4
  4. 217 rem 73
  5. 145 rem 310
  6. 298 rem 580
  7. 831 rem 48
  8. 802 rem 766
  9. 997 rem 904
  10. 680 rem 56
  11. 156 rem 84
  12. 969 rem 431
  13. 667 rem 60
  14. 490 rem 53
  15. 294 rem 87
  16. 140 rem 232
  17. 930 rem 79
  18. 249 rem 893
  19. 29 rem 85
  20. 480 rem 52
  21. 27 rem 322
  22. 83 rem 803
  23. 301 rem 16
  24. 1014 rem 3
  25. 1114 rem 61
  26. 543 rem 787
  27. 343 rem 11
  28. 64 rem 495
  29. 115 rem 86
  30. 198 rem 67
  31. 189 rem 13
  32. 209 rem 30
  33. 586 rem 187
  34. 153 rem 53
  35. 740 rem 2
  36. 305 rem 75
  37. 154 rem 4
  38. 157 rem 828
  39. 528 rem 50
  40. 953 rem 633

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