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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 746 · 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. 1.842861 ÷ 997 =
  2. 2.12720 ÷ 89 =
  3. 3.58903 ÷ 97 =
  4. 4.744777 ÷ 998 =
  5. 5.557218 ÷ 989 =
  6. 6.36008 ÷ 88 =
  7. 7.6108 ÷ 8 =
  8. 8.22715 ÷ 96 =
  9. 9.994688 ÷ 998 =
  10. 10.70794 ÷ 89 =
  11. 11.4940 ÷ 8 =
  12. 12.24181 ÷ 98 =
  13. 13.53099 ÷ 89 =
  14. 14.44532 ÷ 98 =
  15. 15.52090 ÷ 88 =
  16. 16.835496 ÷ 997 =
  17. 17.313422 ÷ 998 =
  18. 18.2891 ÷ 97 =
  19. 19.312353 ÷ 998 =
  20. 20.64325 ÷ 988 =
  21. 21.5756 ÷ 97 =
  22. 22.9927 ÷ 8 =
  23. 23.254605 ÷ 988 =
  24. 24.43512 ÷ 96 =
  25. 25.217564 ÷ 989 =
  26. 26.403424 ÷ 989 =
  27. 27.4389 ÷ 8 =
  28. 28.51618 ÷ 98 =
  29. 29.22216 ÷ 97 =
  30. 30.82617 ÷ 97 =
  31. 31.55493 ÷ 96 =
  32. 32.34030 ÷ 89 =
  33. 33.72933 ÷ 989 =
  34. 34.5288 ÷ 8 =
  35. 35.59095 ÷ 98 =
  36. 36.87344 ÷ 97 =
  37. 37.35700 ÷ 97 =
  38. 38.983483 ÷ 897 =
  39. 39.488318 ÷ 998 =
  40. 40.47408 ÷ 97 =

Answer key

  1. 845 rem 396
  2. 142 rem 82
  3. 607 rem 24
  4. 746 rem 269
  5. 563 rem 411
  6. 409 rem 16
  7. 763 rem 4
  8. 236 rem 59
  9. 996 rem 680
  10. 795 rem 39
  11. 617 rem 4
  12. 246 rem 73
  13. 596 rem 55
  14. 454 rem 40
  15. 591 rem 82
  16. 838 rem 10
  17. 314 rem 50
  18. 29 rem 78
  19. 312 rem 977
  20. 65 rem 105
  21. 59 rem 33
  22. 1240 rem 7
  23. 257 rem 689
  24. 453 rem 24
  25. 219 rem 973
  26. 407 rem 901
  27. 548 rem 5
  28. 526 rem 70
  29. 229 rem 3
  30. 851 rem 70
  31. 578 rem 5
  32. 382 rem 32
  33. 73 rem 736
  34. 661 rem 0
  35. 603 rem 1
  36. 900 rem 44
  37. 368 rem 4
  38. 1096 rem 371
  39. 489 rem 296
  40. 488 rem 72

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