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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 510 · 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. 1.501993 ÷ 988 =
  2. 2.95251 ÷ 88 =
  3. 3.195323 ÷ 897 =
  4. 4.13997 ÷ 89 =
  5. 5.34808 ÷ 88 =
  6. 6.834404 ÷ 998 =
  7. 7.572339 ÷ 989 =
  8. 8.1576 ÷ 8 =
  9. 9.9007 ÷ 97 =
  10. 10.81099 ÷ 97 =
  11. 11.626372 ÷ 997 =
  12. 12.721683 ÷ 997 =
  13. 13.17232 ÷ 98 =
  14. 14.339969 ÷ 989 =
  15. 15.11840 ÷ 96 =
  16. 16.11417 ÷ 988 =
  17. 17.32919 ÷ 89 =
  18. 18.701455 ÷ 998 =
  19. 19.74967 ÷ 96 =
  20. 20.20186 ÷ 97 =
  21. 21.79363 ÷ 96 =
  22. 22.387803 ÷ 989 =
  23. 23.84424 ÷ 98 =
  24. 24.3580 ÷ 89 =
  25. 25.78460 ÷ 89 =
  26. 26.28417 ÷ 98 =
  27. 27.51416 ÷ 96 =
  28. 28.678355 ÷ 997 =
  29. 29.273372 ÷ 998 =
  30. 30.60523 ÷ 997 =
  31. 31.52061 ÷ 997 =
  32. 32.425379 ÷ 988 =
  33. 33.61658 ÷ 96 =
  34. 34.70317 ÷ 97 =
  35. 35.27547 ÷ 998 =
  36. 36.48142 ÷ 97 =
  37. 37.945244 ÷ 988 =
  38. 38.832939 ÷ 988 =
  39. 39.857101 ÷ 989 =
  40. 40.252159 ÷ 988 =

Answer key

  1. 508 rem 89
  2. 1082 rem 35
  3. 217 rem 674
  4. 157 rem 24
  5. 395 rem 48
  6. 836 rem 76
  7. 578 rem 697
  8. 197 rem 0
  9. 92 rem 83
  10. 836 rem 7
  11. 628 rem 256
  12. 723 rem 852
  13. 175 rem 82
  14. 343 rem 742
  15. 123 rem 32
  16. 11 rem 549
  17. 369 rem 78
  18. 702 rem 859
  19. 780 rem 87
  20. 208 rem 10
  21. 826 rem 67
  22. 392 rem 115
  23. 861 rem 46
  24. 40 rem 20
  25. 881 rem 51
  26. 289 rem 95
  27. 535 rem 56
  28. 680 rem 395
  29. 273 rem 918
  30. 60 rem 703
  31. 52 rem 217
  32. 430 rem 539
  33. 642 rem 26
  34. 724 rem 89
  35. 27 rem 601
  36. 496 rem 30
  37. 956 rem 716
  38. 843 rem 55
  39. 866 rem 627
  40. 255 rem 219

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