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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 68 · 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. 1.88267 ÷ 98 =
  2. 2.778 ÷ 8 =
  3. 3.99454 ÷ 897 =
  4. 4.61926 ÷ 96 =
  5. 5.11575 ÷ 96 =
  6. 6.717966 ÷ 988 =
  7. 7.5736 ÷ 96 =
  8. 8.52366 ÷ 98 =
  9. 9.57347 ÷ 88 =
  10. 10.346265 ÷ 997 =
  11. 11.88162 ÷ 98 =
  12. 12.56567 ÷ 97 =
  13. 13.66762 ÷ 98 =
  14. 14.12489 ÷ 96 =
  15. 15.4475 ÷ 8 =
  16. 16.179353 ÷ 998 =
  17. 17.788724 ÷ 988 =
  18. 18.479664 ÷ 998 =
  19. 19.761683 ÷ 988 =
  20. 20.50860 ÷ 89 =
  21. 21.843 ÷ 8 =
  22. 22.3666 ÷ 8 =
  23. 23.669 ÷ 8 =
  24. 24.607436 ÷ 897 =
  25. 25.33580 ÷ 97 =
  26. 26.72808 ÷ 98 =
  27. 27.46499 ÷ 88 =
  28. 28.8086 ÷ 8 =
  29. 29.672573 ÷ 989 =
  30. 30.36625 ÷ 989 =
  31. 31.829520 ÷ 997 =
  32. 32.258038 ÷ 998 =
  33. 33.46608 ÷ 997 =
  34. 34.76134 ÷ 97 =
  35. 35.484767 ÷ 988 =
  36. 36.41891 ÷ 97 =
  37. 37.40768 ÷ 97 =
  38. 38.6786 ÷ 97 =
  39. 39.364343 ÷ 989 =
  40. 40.41969 ÷ 96 =

Answer key

  1. 900 rem 67
  2. 97 rem 2
  3. 110 rem 784
  4. 645 rem 6
  5. 120 rem 55
  6. 726 rem 678
  7. 59 rem 72
  8. 534 rem 34
  9. 651 rem 59
  10. 347 rem 306
  11. 899 rem 60
  12. 583 rem 16
  13. 681 rem 24
  14. 130 rem 9
  15. 559 rem 3
  16. 179 rem 711
  17. 798 rem 300
  18. 480 rem 624
  19. 770 rem 923
  20. 571 rem 41
  21. 105 rem 3
  22. 458 rem 2
  23. 83 rem 5
  24. 677 rem 167
  25. 346 rem 18
  26. 742 rem 92
  27. 528 rem 35
  28. 1010 rem 6
  29. 680 rem 53
  30. 37 rem 32
  31. 832 rem 16
  32. 258 rem 554
  33. 46 rem 746
  34. 784 rem 86
  35. 490 rem 647
  36. 431 rem 84
  37. 420 rem 28
  38. 69 rem 93
  39. 368 rem 391
  40. 437 rem 17

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