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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 580 · 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. 1.73357 ÷ 89 =
  2. 2.229019 ÷ 988 =
  3. 3.46571 ÷ 96 =
  4. 4.2572 ÷ 8 =
  5. 5.428752 ÷ 998 =
  6. 6.450726 ÷ 997 =
  7. 7.843972 ÷ 997 =
  8. 8.759174 ÷ 897 =
  9. 9.92457 ÷ 89 =
  10. 10.5477 ÷ 8 =
  11. 11.796655 ÷ 897 =
  12. 12.32267 ÷ 89 =
  13. 13.60339 ÷ 97 =
  14. 14.7496 ÷ 8 =
  15. 15.5078 ÷ 8 =
  16. 16.6587 ÷ 8 =
  17. 17.34363 ÷ 989 =
  18. 18.27733 ÷ 88 =
  19. 19.98540 ÷ 97 =
  20. 20.577631 ÷ 998 =
  21. 21.29252 ÷ 89 =
  22. 22.4762 ÷ 89 =
  23. 23.3580 ÷ 96 =
  24. 24.65583 ÷ 96 =
  25. 25.211548 ÷ 997 =
  26. 26.183210 ÷ 897 =
  27. 27.374183 ÷ 988 =
  28. 28.813882 ÷ 897 =
  29. 29.60883 ÷ 989 =
  30. 30.82150 ÷ 88 =
  31. 31.50226 ÷ 897 =
  32. 32.5086 ÷ 89 =
  33. 33.72667 ÷ 96 =
  34. 34.86426 ÷ 88 =
  35. 35.159750 ÷ 989 =
  36. 36.37971 ÷ 98 =
  37. 37.2159 ÷ 8 =
  38. 38.71009 ÷ 98 =
  39. 39.3706 ÷ 8 =
  40. 40.109185 ÷ 998 =

Answer key

  1. 824 rem 21
  2. 231 rem 791
  3. 485 rem 11
  4. 321 rem 4
  5. 429 rem 610
  6. 452 rem 82
  7. 846 rem 510
  8. 846 rem 312
  9. 1038 rem 75
  10. 684 rem 5
  11. 888 rem 119
  12. 362 rem 49
  13. 622 rem 5
  14. 937 rem 0
  15. 634 rem 6
  16. 823 rem 3
  17. 34 rem 737
  18. 315 rem 13
  19. 1015 rem 85
  20. 578 rem 787
  21. 328 rem 60
  22. 53 rem 45
  23. 37 rem 28
  24. 683 rem 15
  25. 212 rem 184
  26. 204 rem 222
  27. 378 rem 719
  28. 907 rem 303
  29. 61 rem 554
  30. 933 rem 46
  31. 55 rem 891
  32. 57 rem 13
  33. 756 rem 91
  34. 982 rem 10
  35. 161 rem 521
  36. 387 rem 45
  37. 269 rem 7
  38. 724 rem 57
  39. 463 rem 2
  40. 109 rem 403

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