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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 409 · 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. 1.625550 ÷ 998 =
  2. 2.439489 ÷ 988 =
  3. 3.432970 ÷ 988 =
  4. 4.3896 ÷ 8 =
  5. 5.876451 ÷ 998 =
  6. 6.20093 ÷ 89 =
  7. 7.43323 ÷ 88 =
  8. 8.58931 ÷ 88 =
  9. 9.16579 ÷ 89 =
  10. 10.107367 ÷ 897 =
  11. 11.6089 ÷ 8 =
  12. 12.564610 ÷ 998 =
  13. 13.886048 ÷ 897 =
  14. 14.55968 ÷ 88 =
  15. 15.28523 ÷ 97 =
  16. 16.451780 ÷ 989 =
  17. 17.81973 ÷ 98 =
  18. 18.7356 ÷ 8 =
  19. 19.42593 ÷ 97 =
  20. 20.57343 ÷ 97 =
  21. 21.13951 ÷ 88 =
  22. 22.56355 ÷ 98 =
  23. 23.97131 ÷ 88 =
  24. 24.892882 ÷ 989 =
  25. 25.12040 ÷ 897 =
  26. 26.239808 ÷ 998 =
  27. 27.32047 ÷ 98 =
  28. 28.23536 ÷ 89 =
  29. 29.511399 ÷ 998 =
  30. 30.199630 ÷ 897 =
  31. 31.298171 ÷ 998 =
  32. 32.1430 ÷ 97 =
  33. 33.2582 ÷ 8 =
  34. 34.842143 ÷ 897 =
  35. 35.4536 ÷ 98 =
  36. 36.624353 ÷ 998 =
  37. 37.599576 ÷ 998 =
  38. 38.684249 ÷ 988 =
  39. 39.64519 ÷ 97 =
  40. 40.5030 ÷ 8 =

Answer key

  1. 626 rem 802
  2. 444 rem 817
  3. 438 rem 226
  4. 487 rem 0
  5. 878 rem 207
  6. 225 rem 68
  7. 492 rem 27
  8. 669 rem 59
  9. 186 rem 25
  10. 119 rem 624
  11. 761 rem 1
  12. 565 rem 740
  13. 987 rem 709
  14. 636 rem 0
  15. 294 rem 5
  16. 456 rem 796
  17. 836 rem 45
  18. 919 rem 4
  19. 439 rem 10
  20. 591 rem 16
  21. 158 rem 47
  22. 575 rem 5
  23. 1103 rem 67
  24. 902 rem 804
  25. 13 rem 379
  26. 240 rem 288
  27. 327 rem 1
  28. 264 rem 40
  29. 512 rem 423
  30. 222 rem 496
  31. 298 rem 767
  32. 14 rem 72
  33. 322 rem 6
  34. 938 rem 757
  35. 46 rem 28
  36. 625 rem 603
  37. 600 rem 776
  38. 692 rem 553
  39. 665 rem 14
  40. 628 rem 6

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