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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 887 · 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. 1.19056 ÷ 89 =
  2. 2.164905 ÷ 997 =
  3. 3.376829 ÷ 998 =
  4. 4.99432 ÷ 96 =
  5. 5.4832 ÷ 8 =
  6. 6.87031 ÷ 88 =
  7. 7.288059 ÷ 897 =
  8. 8.58882 ÷ 98 =
  9. 9.11955 ÷ 89 =
  10. 10.114253 ÷ 998 =
  11. 11.937931 ÷ 997 =
  12. 12.662555 ÷ 897 =
  13. 13.38597 ÷ 97 =
  14. 14.40048 ÷ 96 =
  15. 15.247994 ÷ 989 =
  16. 16.47517 ÷ 88 =
  17. 17.648553 ÷ 897 =
  18. 18.528983 ÷ 988 =
  19. 19.690571 ÷ 997 =
  20. 20.361 ÷ 8 =
  21. 21.69725 ÷ 89 =
  22. 22.96591 ÷ 88 =
  23. 23.2690 ÷ 8 =
  24. 24.1443 ÷ 8 =
  25. 25.332143 ÷ 989 =
  26. 26.57064 ÷ 98 =
  27. 27.72142 ÷ 988 =
  28. 28.72107 ÷ 96 =
  29. 29.3158 ÷ 8 =
  30. 30.41742 ÷ 97 =
  31. 31.345158 ÷ 997 =
  32. 32.381033 ÷ 897 =
  33. 33.19659 ÷ 98 =
  34. 34.997709 ÷ 897 =
  35. 35.8508 ÷ 8 =
  36. 36.68666 ÷ 89 =
  37. 37.54643 ÷ 97 =
  38. 38.180275 ÷ 989 =
  39. 39.48501 ÷ 98 =
  40. 40.17370 ÷ 96 =

Answer key

  1. 214 rem 10
  2. 165 rem 400
  3. 377 rem 583
  4. 1035 rem 72
  5. 604 rem 0
  6. 988 rem 87
  7. 321 rem 122
  8. 600 rem 82
  9. 134 rem 29
  10. 114 rem 481
  11. 940 rem 751
  12. 738 rem 569
  13. 397 rem 88
  14. 417 rem 16
  15. 250 rem 744
  16. 539 rem 85
  17. 723 rem 22
  18. 535 rem 403
  19. 692 rem 647
  20. 45 rem 1
  21. 783 rem 38
  22. 1097 rem 55
  23. 336 rem 2
  24. 180 rem 3
  25. 335 rem 828
  26. 582 rem 28
  27. 73 rem 18
  28. 751 rem 11
  29. 394 rem 6
  30. 430 rem 32
  31. 346 rem 196
  32. 424 rem 705
  33. 200 rem 59
  34. 1112 rem 245
  35. 1063 rem 4
  36. 771 rem 47
  37. 563 rem 32
  38. 182 rem 277
  39. 494 rem 89
  40. 180 rem 90

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