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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 839 · 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. 1.33951 ÷ 98 =
  2. 2.22801 ÷ 88 =
  3. 3.89733 ÷ 96 =
  4. 4.65267 ÷ 96 =
  5. 5.61841 ÷ 98 =
  6. 6.9930 ÷ 8 =
  7. 7.335270 ÷ 989 =
  8. 8.87736 ÷ 97 =
  9. 9.56602 ÷ 96 =
  10. 10.6421 ÷ 8 =
  11. 11.2372 ÷ 8 =
  12. 12.63631 ÷ 97 =
  13. 13.837650 ÷ 989 =
  14. 14.53707 ÷ 98 =
  15. 15.52354 ÷ 96 =
  16. 16.117722 ÷ 988 =
  17. 17.590551 ÷ 998 =
  18. 18.85269 ÷ 96 =
  19. 19.25446 ÷ 97 =
  20. 20.861199 ÷ 997 =
  21. 21.617496 ÷ 997 =
  22. 22.70550 ÷ 97 =
  23. 23.810744 ÷ 989 =
  24. 24.844052 ÷ 988 =
  25. 25.87611 ÷ 96 =
  26. 26.6708 ÷ 8 =
  27. 27.177165 ÷ 989 =
  28. 28.755903 ÷ 989 =
  29. 29.641900 ÷ 997 =
  30. 30.26920 ÷ 96 =
  31. 31.73501 ÷ 89 =
  32. 32.293036 ÷ 989 =
  33. 33.72205 ÷ 89 =
  34. 34.635046 ÷ 997 =
  35. 35.13436 ÷ 97 =
  36. 36.48993 ÷ 98 =
  37. 37.7114 ÷ 8 =
  38. 38.5482 ÷ 8 =
  39. 39.45591 ÷ 88 =
  40. 40.4219 ÷ 8 =

Answer key

  1. 346 rem 43
  2. 259 rem 9
  3. 934 rem 69
  4. 679 rem 83
  5. 631 rem 3
  6. 1241 rem 2
  7. 338 rem 988
  8. 904 rem 48
  9. 589 rem 58
  10. 802 rem 5
  11. 296 rem 4
  12. 655 rem 96
  13. 846 rem 956
  14. 548 rem 3
  15. 545 rem 34
  16. 119 rem 150
  17. 591 rem 733
  18. 888 rem 21
  19. 262 rem 32
  20. 863 rem 788
  21. 619 rem 353
  22. 727 rem 31
  23. 819 rem 753
  24. 854 rem 300
  25. 912 rem 59
  26. 838 rem 4
  27. 179 rem 134
  28. 764 rem 307
  29. 643 rem 829
  30. 280 rem 40
  31. 825 rem 76
  32. 296 rem 292
  33. 811 rem 26
  34. 636 rem 954
  35. 138 rem 50
  36. 499 rem 91
  37. 889 rem 2
  38. 685 rem 2
  39. 518 rem 7
  40. 527 rem 3

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