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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 498 · 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. 1.35275 ÷ 897 =
  2. 2.73731 ÷ 96 =
  3. 3.789269 ÷ 989 =
  4. 4.51169 ÷ 98 =
  5. 5.689570 ÷ 988 =
  6. 6.181858 ÷ 998 =
  7. 7.477201 ÷ 998 =
  8. 8.2533 ÷ 8 =
  9. 9.9246 ÷ 88 =
  10. 10.51302 ÷ 89 =
  11. 11.977687 ÷ 897 =
  12. 12.109555 ÷ 997 =
  13. 13.481181 ÷ 897 =
  14. 14.549691 ÷ 897 =
  15. 15.447178 ÷ 988 =
  16. 16.1425 ÷ 8 =
  17. 17.129147 ÷ 997 =
  18. 18.51545 ÷ 97 =
  19. 19.599256 ÷ 998 =
  20. 20.65134 ÷ 98 =
  21. 21.75421 ÷ 897 =
  22. 22.363102 ÷ 897 =
  23. 23.502681 ÷ 989 =
  24. 24.71530 ÷ 98 =
  25. 25.6167 ÷ 8 =
  26. 26.46312 ÷ 88 =
  27. 27.35612 ÷ 88 =
  28. 28.93780 ÷ 88 =
  29. 29.692192 ÷ 989 =
  30. 30.99549 ÷ 97 =
  31. 31.26784 ÷ 98 =
  32. 32.17010 ÷ 89 =
  33. 33.24047 ÷ 96 =
  34. 34.704500 ÷ 989 =
  35. 35.19080 ÷ 89 =
  36. 36.844505 ÷ 988 =
  37. 37.10423 ÷ 897 =
  38. 38.22584 ÷ 89 =
  39. 39.90003 ÷ 97 =
  40. 40.47761 ÷ 97 =

Answer key

  1. 39 rem 292
  2. 768 rem 3
  3. 798 rem 47
  4. 522 rem 13
  5. 697 rem 934
  6. 182 rem 222
  7. 478 rem 157
  8. 316 rem 5
  9. 105 rem 6
  10. 576 rem 38
  11. 1089 rem 854
  12. 109 rem 882
  13. 536 rem 389
  14. 612 rem 727
  15. 452 rem 602
  16. 178 rem 1
  17. 129 rem 534
  18. 531 rem 38
  19. 600 rem 456
  20. 664 rem 62
  21. 84 rem 73
  22. 404 rem 714
  23. 508 rem 269
  24. 729 rem 88
  25. 770 rem 7
  26. 526 rem 24
  27. 404 rem 60
  28. 1065 rem 60
  29. 699 rem 881
  30. 1026 rem 27
  31. 273 rem 30
  32. 191 rem 11
  33. 250 rem 47
  34. 712 rem 332
  35. 214 rem 34
  36. 854 rem 753
  37. 11 rem 556
  38. 253 rem 67
  39. 927 rem 84
  40. 492 rem 37

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