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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 707 · 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. 1.694459 ÷ 997 =
  2. 2.68805 ÷ 988 =
  3. 3.51134 ÷ 96 =
  4. 4.216934 ÷ 897 =
  5. 5.9513 ÷ 8 =
  6. 6.79711 ÷ 98 =
  7. 7.828051 ÷ 897 =
  8. 8.4182 ÷ 8 =
  9. 9.32039 ÷ 97 =
  10. 10.676585 ÷ 998 =
  11. 11.5903 ÷ 96 =
  12. 12.23190 ÷ 98 =
  13. 13.11988 ÷ 89 =
  14. 14.3829 ÷ 8 =
  15. 15.14638 ÷ 97 =
  16. 16.484580 ÷ 989 =
  17. 17.161721 ÷ 998 =
  18. 18.43631 ÷ 89 =
  19. 19.187465 ÷ 897 =
  20. 20.92859 ÷ 96 =
  21. 21.136579 ÷ 988 =
  22. 22.52543 ÷ 89 =
  23. 23.62713 ÷ 97 =
  24. 24.321920 ÷ 997 =
  25. 25.545296 ÷ 998 =
  26. 26.35131 ÷ 98 =
  27. 27.94665 ÷ 88 =
  28. 28.836337 ÷ 997 =
  29. 29.82856 ÷ 897 =
  30. 30.95509 ÷ 88 =
  31. 31.31940 ÷ 89 =
  32. 32.40171 ÷ 897 =
  33. 33.966053 ÷ 997 =
  34. 34.41970 ÷ 97 =
  35. 35.842143 ÷ 997 =
  36. 36.98726 ÷ 98 =
  37. 37.85363 ÷ 88 =
  38. 38.12750 ÷ 98 =
  39. 39.661030 ÷ 998 =
  40. 40.51582 ÷ 88 =

Answer key

  1. 696 rem 547
  2. 69 rem 633
  3. 532 rem 62
  4. 241 rem 757
  5. 1189 rem 1
  6. 813 rem 37
  7. 923 rem 120
  8. 522 rem 6
  9. 330 rem 29
  10. 677 rem 939
  11. 61 rem 47
  12. 236 rem 62
  13. 134 rem 62
  14. 478 rem 5
  15. 150 rem 88
  16. 489 rem 959
  17. 162 rem 45
  18. 490 rem 21
  19. 208 rem 889
  20. 967 rem 27
  21. 138 rem 235
  22. 590 rem 33
  23. 646 rem 51
  24. 322 rem 886
  25. 546 rem 388
  26. 358 rem 47
  27. 1075 rem 65
  28. 838 rem 851
  29. 92 rem 332
  30. 1085 rem 29
  31. 358 rem 78
  32. 44 rem 703
  33. 968 rem 957
  34. 432 rem 66
  35. 844 rem 675
  36. 1007 rem 40
  37. 970 rem 3
  38. 130 rem 10
  39. 662 rem 354
  40. 586 rem 14

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