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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 934 · 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. 1.16680 ÷ 98 =
  2. 2.234067 ÷ 988 =
  3. 3.941637 ÷ 988 =
  4. 4.985350 ÷ 897 =
  5. 5.71027 ÷ 96 =
  6. 6.671066 ÷ 997 =
  7. 7.710135 ÷ 897 =
  8. 8.87571 ÷ 98 =
  9. 9.387182 ÷ 988 =
  10. 10.331402 ÷ 998 =
  11. 11.3990 ÷ 8 =
  12. 12.20270 ÷ 88 =
  13. 13.48823 ÷ 89 =
  14. 14.28491 ÷ 96 =
  15. 15.4007 ÷ 88 =
  16. 16.113675 ÷ 988 =
  17. 17.501788 ÷ 997 =
  18. 18.138735 ÷ 997 =
  19. 19.733679 ÷ 997 =
  20. 20.788851 ÷ 989 =
  21. 21.78910 ÷ 88 =
  22. 22.18419 ÷ 89 =
  23. 23.37214 ÷ 97 =
  24. 24.9458 ÷ 97 =
  25. 25.69924 ÷ 989 =
  26. 26.752956 ÷ 998 =
  27. 27.35612 ÷ 98 =
  28. 28.741156 ÷ 998 =
  29. 29.11624 ÷ 89 =
  30. 30.28153 ÷ 998 =
  31. 31.76408 ÷ 96 =
  32. 32.48868 ÷ 96 =
  33. 33.995322 ÷ 989 =
  34. 34.99457 ÷ 97 =
  35. 35.620648 ÷ 989 =
  36. 36.5534 ÷ 8 =
  37. 37.83357 ÷ 96 =
  38. 38.914987 ÷ 997 =
  39. 39.76623 ÷ 98 =
  40. 40.584981 ÷ 989 =

Answer key

  1. 170 rem 20
  2. 236 rem 899
  3. 953 rem 73
  4. 1098 rem 444
  5. 739 rem 83
  6. 673 rem 85
  7. 791 rem 608
  8. 893 rem 57
  9. 391 rem 874
  10. 332 rem 66
  11. 498 rem 6
  12. 230 rem 30
  13. 548 rem 51
  14. 296 rem 75
  15. 45 rem 47
  16. 115 rem 55
  17. 503 rem 297
  18. 139 rem 152
  19. 735 rem 884
  20. 797 rem 618
  21. 896 rem 62
  22. 206 rem 85
  23. 383 rem 63
  24. 97 rem 49
  25. 70 rem 694
  26. 754 rem 464
  27. 363 rem 38
  28. 742 rem 640
  29. 130 rem 54
  30. 28 rem 209
  31. 795 rem 88
  32. 509 rem 4
  33. 1006 rem 388
  34. 1025 rem 32
  35. 627 rem 545
  36. 691 rem 6
  37. 868 rem 29
  38. 917 rem 738
  39. 781 rem 85
  40. 591 rem 482

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