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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 369 · 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. 1.497268 ÷ 989 =
  2. 2.589358 ÷ 998 =
  3. 3.10569 ÷ 88 =
  4. 4.247581 ÷ 989 =
  5. 5.229413 ÷ 997 =
  6. 6.943446 ÷ 897 =
  7. 7.582601 ÷ 997 =
  8. 8.14370 ÷ 98 =
  9. 9.8639 ÷ 98 =
  10. 10.5258 ÷ 97 =
  11. 11.2945 ÷ 8 =
  12. 12.155448 ÷ 988 =
  13. 13.632 ÷ 8 =
  14. 14.56728 ÷ 89 =
  15. 15.70086 ÷ 897 =
  16. 16.28428 ÷ 89 =
  17. 17.853809 ÷ 897 =
  18. 18.945116 ÷ 998 =
  19. 19.2352 ÷ 96 =
  20. 20.94102 ÷ 89 =
  21. 21.140062 ÷ 997 =
  22. 22.90767 ÷ 97 =
  23. 23.809535 ÷ 998 =
  24. 24.17721 ÷ 98 =
  25. 25.918143 ÷ 998 =
  26. 26.699293 ÷ 897 =
  27. 27.630917 ÷ 997 =
  28. 28.567543 ÷ 997 =
  29. 29.92939 ÷ 97 =
  30. 30.31145 ÷ 97 =
  31. 31.63184 ÷ 89 =
  32. 32.342288 ÷ 997 =
  33. 33.3915 ÷ 8 =
  34. 34.78818 ÷ 89 =
  35. 35.448566 ÷ 989 =
  36. 36.187427 ÷ 988 =
  37. 37.1372 ÷ 8 =
  38. 38.606698 ÷ 998 =
  39. 39.20872 ÷ 97 =
  40. 40.314714 ÷ 988 =

Answer key

  1. 502 rem 790
  2. 590 rem 538
  3. 120 rem 9
  4. 250 rem 331
  5. 230 rem 103
  6. 1051 rem 699
  7. 584 rem 353
  8. 146 rem 62
  9. 88 rem 15
  10. 54 rem 20
  11. 368 rem 1
  12. 157 rem 332
  13. 79 rem 0
  14. 637 rem 35
  15. 78 rem 120
  16. 319 rem 37
  17. 951 rem 762
  18. 947 rem 10
  19. 24 rem 48
  20. 1057 rem 29
  21. 140 rem 482
  22. 935 rem 72
  23. 811 rem 157
  24. 180 rem 81
  25. 919 rem 981
  26. 779 rem 530
  27. 632 rem 813
  28. 569 rem 250
  29. 958 rem 13
  30. 321 rem 8
  31. 709 rem 83
  32. 343 rem 317
  33. 489 rem 3
  34. 885 rem 53
  35. 453 rem 549
  36. 189 rem 695
  37. 171 rem 4
  38. 607 rem 912
  39. 215 rem 17
  40. 318 rem 530

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