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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 790 · 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. 1.5643 ÷ 8 =
  2. 2.49375 ÷ 88 =
  3. 3.26477 ÷ 96 =
  4. 4.88537 ÷ 96 =
  5. 5.50084 ÷ 88 =
  6. 6.496388 ÷ 997 =
  7. 7.773368 ÷ 997 =
  8. 8.71134 ÷ 89 =
  9. 9.261427 ÷ 897 =
  10. 10.886654 ÷ 989 =
  11. 11.25647 ÷ 98 =
  12. 12.28976 ÷ 98 =
  13. 13.14007 ÷ 96 =
  14. 14.745591 ÷ 997 =
  15. 15.60851 ÷ 88 =
  16. 16.84037 ÷ 89 =
  17. 17.49937 ÷ 96 =
  18. 18.69524 ÷ 89 =
  19. 19.1467 ÷ 89 =
  20. 20.22209 ÷ 97 =
  21. 21.88852 ÷ 88 =
  22. 22.27844 ÷ 88 =
  23. 23.17484 ÷ 97 =
  24. 24.126116 ÷ 897 =
  25. 25.3027 ÷ 8 =
  26. 26.48281 ÷ 89 =
  27. 27.195687 ÷ 997 =
  28. 28.41875 ÷ 98 =
  29. 29.847165 ÷ 897 =
  30. 30.275117 ÷ 988 =
  31. 31.89171 ÷ 97 =
  32. 32.8505 ÷ 8 =
  33. 33.241173 ÷ 997 =
  34. 34.343024 ÷ 897 =
  35. 35.9613 ÷ 98 =
  36. 36.21335 ÷ 88 =
  37. 37.458900 ÷ 988 =
  38. 38.128921 ÷ 988 =
  39. 39.42560 ÷ 98 =
  40. 40.93117 ÷ 88 =

Answer key

  1. 705 rem 3
  2. 561 rem 7
  3. 275 rem 77
  4. 922 rem 25
  5. 569 rem 12
  6. 497 rem 879
  7. 775 rem 693
  8. 799 rem 23
  9. 291 rem 400
  10. 896 rem 510
  11. 261 rem 69
  12. 295 rem 66
  13. 145 rem 87
  14. 747 rem 832
  15. 691 rem 43
  16. 944 rem 21
  17. 520 rem 17
  18. 781 rem 15
  19. 16 rem 43
  20. 228 rem 93
  21. 1009 rem 60
  22. 316 rem 36
  23. 180 rem 24
  24. 140 rem 536
  25. 378 rem 3
  26. 542 rem 43
  27. 196 rem 275
  28. 427 rem 29
  29. 944 rem 397
  30. 278 rem 453
  31. 919 rem 28
  32. 1063 rem 1
  33. 241 rem 896
  34. 382 rem 370
  35. 98 rem 9
  36. 242 rem 39
  37. 464 rem 468
  38. 130 rem 481
  39. 434 rem 28
  40. 1058 rem 13

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