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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 299 · 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. 1.925214 ÷ 998 =
  2. 2.393415 ÷ 998 =
  3. 3.67022 ÷ 88 =
  4. 4.10713 ÷ 96 =
  5. 5.64240 ÷ 97 =
  6. 6.32572 ÷ 97 =
  7. 7.751094 ÷ 989 =
  8. 8.24031 ÷ 997 =
  9. 9.86122 ÷ 89 =
  10. 10.18336 ÷ 96 =
  11. 11.807666 ÷ 989 =
  12. 12.53734 ÷ 998 =
  13. 13.265957 ÷ 997 =
  14. 14.73177 ÷ 97 =
  15. 15.6604 ÷ 8 =
  16. 16.307419 ÷ 989 =
  17. 17.766142 ÷ 998 =
  18. 18.21872 ÷ 96 =
  19. 19.28955 ÷ 989 =
  20. 20.2105 ÷ 8 =
  21. 21.436257 ÷ 989 =
  22. 22.73575 ÷ 88 =
  23. 23.5040 ÷ 96 =
  24. 24.373709 ÷ 997 =
  25. 25.9873 ÷ 8 =
  26. 26.33845 ÷ 97 =
  27. 27.859005 ÷ 998 =
  28. 28.25041 ÷ 88 =
  29. 29.93248 ÷ 89 =
  30. 30.353056 ÷ 988 =
  31. 31.478573 ÷ 988 =
  32. 32.97495 ÷ 98 =
  33. 33.9903 ÷ 8 =
  34. 34.13066 ÷ 88 =
  35. 35.2458 ÷ 97 =
  36. 36.924807 ÷ 989 =
  37. 37.373961 ÷ 998 =
  38. 38.219250 ÷ 988 =
  39. 39.64512 ÷ 98 =
  40. 40.618067 ÷ 997 =

Answer key

  1. 927 rem 68
  2. 394 rem 203
  3. 761 rem 54
  4. 111 rem 57
  5. 662 rem 26
  6. 335 rem 77
  7. 759 rem 443
  8. 24 rem 103
  9. 967 rem 59
  10. 191 rem 0
  11. 816 rem 642
  12. 53 rem 840
  13. 266 rem 755
  14. 754 rem 39
  15. 825 rem 4
  16. 310 rem 829
  17. 767 rem 676
  18. 227 rem 80
  19. 29 rem 274
  20. 263 rem 1
  21. 441 rem 108
  22. 836 rem 7
  23. 52 rem 48
  24. 374 rem 831
  25. 1234 rem 1
  26. 348 rem 89
  27. 860 rem 725
  28. 284 rem 49
  29. 1047 rem 65
  30. 357 rem 340
  31. 484 rem 381
  32. 994 rem 83
  33. 1237 rem 7
  34. 148 rem 42
  35. 25 rem 33
  36. 935 rem 92
  37. 374 rem 709
  38. 221 rem 902
  39. 658 rem 28
  40. 619 rem 924

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