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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 272 · 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. 1.61323 ÷ 97 =
  2. 2.317124 ÷ 998 =
  3. 3.65746 ÷ 96 =
  4. 4.32728 ÷ 88 =
  5. 5.371579 ÷ 989 =
  6. 6.374829 ÷ 989 =
  7. 7.74291 ÷ 96 =
  8. 8.88370 ÷ 989 =
  9. 9.139563 ÷ 998 =
  10. 10.763648 ÷ 989 =
  11. 11.55187 ÷ 97 =
  12. 12.2085 ÷ 8 =
  13. 13.3899 ÷ 98 =
  14. 14.431619 ÷ 997 =
  15. 15.383097 ÷ 988 =
  16. 16.61152 ÷ 88 =
  17. 17.152422 ÷ 897 =
  18. 18.79364 ÷ 88 =
  19. 19.272434 ÷ 897 =
  20. 20.984392 ÷ 897 =
  21. 21.68669 ÷ 98 =
  22. 22.97036 ÷ 97 =
  23. 23.797975 ÷ 897 =
  24. 24.44376 ÷ 97 =
  25. 25.630730 ÷ 998 =
  26. 26.8839 ÷ 98 =
  27. 27.306048 ÷ 897 =
  28. 28.38500 ÷ 97 =
  29. 29.75485 ÷ 998 =
  30. 30.87523 ÷ 98 =
  31. 31.40822 ÷ 88 =
  32. 32.12528 ÷ 89 =
  33. 33.7233 ÷ 89 =
  34. 34.420049 ÷ 897 =
  35. 35.27536 ÷ 96 =
  36. 36.81083 ÷ 98 =
  37. 37.5594 ÷ 8 =
  38. 38.864541 ÷ 897 =
  39. 39.384845 ÷ 989 =
  40. 40.23003 ÷ 97 =

Answer key

  1. 632 rem 19
  2. 317 rem 758
  3. 684 rem 82
  4. 371 rem 80
  5. 375 rem 704
  6. 378 rem 987
  7. 773 rem 83
  8. 89 rem 349
  9. 139 rem 841
  10. 772 rem 140
  11. 568 rem 91
  12. 260 rem 5
  13. 39 rem 77
  14. 432 rem 915
  15. 387 rem 741
  16. 694 rem 80
  17. 169 rem 829
  18. 901 rem 76
  19. 303 rem 643
  20. 1097 rem 383
  21. 700 rem 69
  22. 1000 rem 36
  23. 889 rem 542
  24. 457 rem 47
  25. 631 rem 992
  26. 90 rem 19
  27. 341 rem 171
  28. 396 rem 88
  29. 75 rem 635
  30. 893 rem 9
  31. 463 rem 78
  32. 140 rem 68
  33. 81 rem 24
  34. 468 rem 253
  35. 286 rem 80
  36. 827 rem 37
  37. 699 rem 2
  38. 963 rem 730
  39. 389 rem 124
  40. 237 rem 14

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