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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 488 · 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. 1.653743 ÷ 989 =
  2. 2.28526 ÷ 88 =
  3. 3.17300 ÷ 89 =
  4. 4.64463 ÷ 97 =
  5. 5.7547 ÷ 8 =
  6. 6.23099 ÷ 98 =
  7. 7.86296 ÷ 89 =
  8. 8.167518 ÷ 897 =
  9. 9.97875 ÷ 88 =
  10. 10.67654 ÷ 96 =
  11. 11.18914 ÷ 88 =
  12. 12.63081 ÷ 96 =
  13. 13.34570 ÷ 897 =
  14. 14.31381 ÷ 988 =
  15. 15.498987 ÷ 897 =
  16. 16.9950 ÷ 8 =
  17. 17.19384 ÷ 98 =
  18. 18.30834 ÷ 88 =
  19. 19.834339 ÷ 998 =
  20. 20.677886 ÷ 997 =
  21. 21.398751 ÷ 997 =
  22. 22.823441 ÷ 897 =
  23. 23.20064 ÷ 88 =
  24. 24.90704 ÷ 89 =
  25. 25.27376 ÷ 96 =
  26. 26.24632 ÷ 88 =
  27. 27.319915 ÷ 897 =
  28. 28.25012 ÷ 88 =
  29. 29.17062 ÷ 989 =
  30. 30.833413 ÷ 897 =
  31. 31.7515 ÷ 8 =
  32. 32.865650 ÷ 997 =
  33. 33.337222 ÷ 998 =
  34. 34.23973 ÷ 88 =
  35. 35.38890 ÷ 97 =
  36. 36.239861 ÷ 989 =
  37. 37.242768 ÷ 897 =
  38. 38.458043 ÷ 989 =
  39. 39.233796 ÷ 989 =
  40. 40.3928 ÷ 8 =

Answer key

  1. 661 rem 14
  2. 324 rem 14
  3. 194 rem 34
  4. 664 rem 55
  5. 943 rem 3
  6. 235 rem 69
  7. 969 rem 55
  8. 186 rem 676
  9. 1112 rem 19
  10. 704 rem 70
  11. 214 rem 82
  12. 657 rem 9
  13. 38 rem 484
  14. 31 rem 753
  15. 556 rem 255
  16. 1243 rem 6
  17. 197 rem 78
  18. 350 rem 34
  19. 836 rem 11
  20. 679 rem 923
  21. 399 rem 948
  22. 917 rem 892
  23. 228 rem 0
  24. 1019 rem 13
  25. 285 rem 16
  26. 279 rem 80
  27. 356 rem 583
  28. 284 rem 20
  29. 17 rem 249
  30. 929 rem 100
  31. 939 rem 3
  32. 868 rem 254
  33. 337 rem 896
  34. 272 rem 37
  35. 400 rem 90
  36. 242 rem 523
  37. 270 rem 578
  38. 463 rem 136
  39. 236 rem 392
  40. 491 rem 0

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