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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 663 · 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. 1.13979 ÷ 98 =
  2. 2.316904 ÷ 989 =
  3. 3.617294 ÷ 997 =
  4. 4.993430 ÷ 997 =
  5. 5.59027 ÷ 89 =
  6. 6.38763 ÷ 96 =
  7. 7.7807 ÷ 8 =
  8. 8.577647 ÷ 989 =
  9. 9.4222 ÷ 8 =
  10. 10.1049 ÷ 8 =
  11. 11.562010 ÷ 997 =
  12. 12.300816 ÷ 989 =
  13. 13.27961 ÷ 97 =
  14. 14.62151 ÷ 89 =
  15. 15.27438 ÷ 97 =
  16. 16.45892 ÷ 97 =
  17. 17.512335 ÷ 989 =
  18. 18.74380 ÷ 96 =
  19. 19.412520 ÷ 988 =
  20. 20.46415 ÷ 97 =
  21. 21.25198 ÷ 89 =
  22. 22.42923 ÷ 89 =
  23. 23.25112 ÷ 96 =
  24. 24.4465 ÷ 8 =
  25. 25.4955 ÷ 89 =
  26. 26.2862 ÷ 98 =
  27. 27.86669 ÷ 89 =
  28. 28.841044 ÷ 988 =
  29. 29.268965 ÷ 997 =
  30. 30.41118 ÷ 98 =
  31. 31.94302 ÷ 897 =
  32. 32.23624 ÷ 988 =
  33. 33.50178 ÷ 989 =
  34. 34.716240 ÷ 989 =
  35. 35.774587 ÷ 988 =
  36. 36.383936 ÷ 988 =
  37. 37.917222 ÷ 998 =
  38. 38.7315 ÷ 8 =
  39. 39.338609 ÷ 989 =
  40. 40.596880 ÷ 989 =

Answer key

  1. 142 rem 63
  2. 320 rem 424
  3. 619 rem 151
  4. 996 rem 418
  5. 663 rem 20
  6. 403 rem 75
  7. 975 rem 7
  8. 584 rem 71
  9. 527 rem 6
  10. 131 rem 1
  11. 563 rem 699
  12. 304 rem 160
  13. 288 rem 25
  14. 698 rem 29
  15. 282 rem 84
  16. 473 rem 11
  17. 518 rem 33
  18. 774 rem 76
  19. 417 rem 524
  20. 478 rem 49
  21. 283 rem 11
  22. 482 rem 25
  23. 261 rem 56
  24. 558 rem 1
  25. 55 rem 60
  26. 29 rem 20
  27. 973 rem 72
  28. 851 rem 256
  29. 269 rem 772
  30. 419 rem 56
  31. 105 rem 117
  32. 23 rem 900
  33. 50 rem 728
  34. 724 rem 204
  35. 783 rem 983
  36. 388 rem 592
  37. 919 rem 60
  38. 914 rem 3
  39. 342 rem 371
  40. 603 rem 513

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