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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 260 · 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. 1.17659 ÷ 88 =
  2. 2.67409 ÷ 88 =
  3. 3.640276 ÷ 897 =
  4. 4.13445 ÷ 97 =
  5. 5.25568 ÷ 98 =
  6. 6.506579 ÷ 897 =
  7. 7.75261 ÷ 89 =
  8. 8.95375 ÷ 98 =
  9. 9.17808 ÷ 88 =
  10. 10.4689 ÷ 89 =
  11. 11.52564 ÷ 96 =
  12. 12.3013 ÷ 8 =
  13. 13.3524 ÷ 8 =
  14. 14.193223 ÷ 989 =
  15. 15.744008 ÷ 989 =
  16. 16.32797 ÷ 88 =
  17. 17.39631 ÷ 89 =
  18. 18.46993 ÷ 96 =
  19. 19.51390 ÷ 989 =
  20. 20.5612 ÷ 8 =
  21. 21.844876 ÷ 897 =
  22. 22.37568 ÷ 97 =
  23. 23.25072 ÷ 988 =
  24. 24.666802 ÷ 988 =
  25. 25.664346 ÷ 989 =
  26. 26.190636 ÷ 897 =
  27. 27.36003 ÷ 89 =
  28. 28.48481 ÷ 98 =
  29. 29.463726 ÷ 897 =
  30. 30.49403 ÷ 989 =
  31. 31.98590 ÷ 96 =
  32. 32.69041 ÷ 96 =
  33. 33.3315 ÷ 8 =
  34. 34.14355 ÷ 89 =
  35. 35.47932 ÷ 98 =
  36. 36.90440 ÷ 97 =
  37. 37.17483 ÷ 98 =
  38. 38.69122 ÷ 997 =
  39. 39.94982 ÷ 98 =
  40. 40.2296 ÷ 8 =

Answer key

  1. 200 rem 59
  2. 766 rem 1
  3. 713 rem 715
  4. 138 rem 59
  5. 260 rem 88
  6. 564 rem 671
  7. 845 rem 56
  8. 973 rem 21
  9. 202 rem 32
  10. 52 rem 61
  11. 547 rem 52
  12. 376 rem 5
  13. 440 rem 4
  14. 195 rem 368
  15. 752 rem 280
  16. 372 rem 61
  17. 445 rem 26
  18. 489 rem 49
  19. 51 rem 951
  20. 701 rem 4
  21. 941 rem 799
  22. 387 rem 29
  23. 25 rem 372
  24. 674 rem 890
  25. 671 rem 727
  26. 212 rem 472
  27. 404 rem 47
  28. 494 rem 69
  29. 516 rem 874
  30. 49 rem 942
  31. 1026 rem 94
  32. 719 rem 17
  33. 414 rem 3
  34. 161 rem 26
  35. 489 rem 10
  36. 932 rem 36
  37. 178 rem 39
  38. 69 rem 329
  39. 969 rem 20
  40. 287 rem 0

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