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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 751 · 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. 1.66928 ÷ 96 =
  2. 2.82695 ÷ 88 =
  3. 3.531282 ÷ 988 =
  4. 4.35579 ÷ 98 =
  5. 5.61628 ÷ 97 =
  6. 6.95976 ÷ 98 =
  7. 7.47583 ÷ 88 =
  8. 8.74817 ÷ 988 =
  9. 9.82338 ÷ 97 =
  10. 10.10453 ÷ 98 =
  11. 11.269538 ÷ 988 =
  12. 12.727175 ÷ 988 =
  13. 13.43674 ÷ 988 =
  14. 14.5658 ÷ 8 =
  15. 15.131115 ÷ 998 =
  16. 16.950451 ÷ 988 =
  17. 17.5649 ÷ 8 =
  18. 18.1276 ÷ 8 =
  19. 19.15166 ÷ 89 =
  20. 20.398441 ÷ 989 =
  21. 21.89273 ÷ 96 =
  22. 22.951464 ÷ 997 =
  23. 23.255365 ÷ 998 =
  24. 24.54916 ÷ 88 =
  25. 25.3650 ÷ 8 =
  26. 26.22959 ÷ 98 =
  27. 27.7846 ÷ 98 =
  28. 28.468621 ÷ 998 =
  29. 29.366742 ÷ 988 =
  30. 30.665470 ÷ 988 =
  31. 31.73323 ÷ 89 =
  32. 32.293777 ÷ 989 =
  33. 33.955042 ÷ 897 =
  34. 34.889263 ÷ 897 =
  35. 35.871217 ÷ 998 =
  36. 36.3665 ÷ 97 =
  37. 37.7020 ÷ 8 =
  38. 38.653456 ÷ 997 =
  39. 39.285357 ÷ 897 =
  40. 40.42915 ÷ 96 =

Answer key

  1. 697 rem 16
  2. 939 rem 63
  3. 537 rem 726
  4. 363 rem 5
  5. 635 rem 33
  6. 979 rem 34
  7. 540 rem 63
  8. 75 rem 717
  9. 848 rem 82
  10. 106 rem 65
  11. 272 rem 802
  12. 736 rem 7
  13. 44 rem 202
  14. 707 rem 2
  15. 131 rem 377
  16. 961 rem 983
  17. 706 rem 1
  18. 159 rem 4
  19. 170 rem 36
  20. 402 rem 863
  21. 929 rem 89
  22. 954 rem 326
  23. 255 rem 875
  24. 624 rem 4
  25. 456 rem 2
  26. 234 rem 27
  27. 80 rem 6
  28. 469 rem 559
  29. 371 rem 194
  30. 673 rem 546
  31. 823 rem 76
  32. 297 rem 44
  33. 1064 rem 634
  34. 991 rem 336
  35. 872 rem 961
  36. 37 rem 76
  37. 877 rem 4
  38. 655 rem 421
  39. 318 rem 111
  40. 447 rem 3

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